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Finding the Fourth Proportional to 518.77, 715.91 and 282.71

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Solution

The fourth proportional to 518.77, 715.91 and 282.71 is: 390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.77 : 715.91 = 282.71 : x
  2. Step 2: Convert to fraction form
    518.77/715.91 = 282.71/x
  3. Step 3: Cross multiply
    518.77x = 715.91 × 282.71
  4. Step 4: Simplify right side
    518.77x = 202,395.82
  5. Step 5: Solve for x
    x = 202,395.82/518.77
  6. Step 6: Final answer
    x = 390.15

Related Problems

Find fourth proportional to 259.38, 357.95 and 141.36
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.