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Finding the Fourth Proportional to 766.19, 1,149.60 and 458.21

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Solution

The fourth proportional to 766.19, 1,149.60 and 458.21 is: 687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,149.60 = 458.21 : x
  2. Step 2: Convert to fraction form
    766.19/1,149.60 = 458.21/x
  3. Step 3: Cross multiply
    766.19x = 1,149.60 × 458.21
  4. Step 4: Simplify right side
    766.19x = 526,758.22
  5. Step 5: Solve for x
    x = 526,758.22/766.19
  6. Step 6: Final answer
    x = 687.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.