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Finding the Fourth Proportional to 514.83, 772.14 and 283.65

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Solution

The fourth proportional to 514.83, 772.14 and 283.65 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 772.14 = 283.65 : x
  2. Step 2: Convert to fraction form
    514.83/772.14 = 283.65/x
  3. Step 3: Cross multiply
    514.83x = 772.14 × 283.65
  4. Step 4: Simplify right side
    514.83x = 219,017.51
  5. Step 5: Solve for x
    x = 219,017.51/514.83
  6. Step 6: Final answer
    x = 425.42

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Double scale
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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.