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Finding the Fourth Proportional to 517.19, 713.69 and 284.32

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Solution

The fourth proportional to 517.19, 713.69 and 284.32 is: 392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 713.69 = 284.32 : x
  2. Step 2: Convert to fraction form
    517.19/713.69 = 284.32/x
  3. Step 3: Cross multiply
    517.19x = 713.69 × 284.32
  4. Step 4: Simplify right side
    517.19x = 202,913.48
  5. Step 5: Solve for x
    x = 202,913.48/517.19
  6. Step 6: Final answer
    x = 392.34

Related Problems

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Half scale
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Double scale
Find fourth proportional to 518.19, 715.07 and 285.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.