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Finding the Fourth Proportional to 651.25, 975.15 and 456.49

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Solution

The fourth proportional to 651.25, 975.15 and 456.49 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.25 : 975.15 = 456.49 : x
  2. Step 2: Convert to fraction form
    651.25/975.15 = 456.49/x
  3. Step 3: Cross multiply
    651.25x = 975.15 × 456.49
  4. Step 4: Simplify right side
    651.25x = 445,143.79
  5. Step 5: Solve for x
    x = 445,143.79/651.25
  6. Step 6: Final answer
    x = 683.52

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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.