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Finding the Fourth Proportional to 518.76, 714.24 and 470.16

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Solution

The fourth proportional to 518.76, 714.24 and 470.16 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 714.24 = 470.16 : x
  2. Step 2: Convert to fraction form
    518.76/714.24 = 470.16/x
  3. Step 3: Cross multiply
    518.76x = 714.24 × 470.16
  4. Step 4: Simplify right side
    518.76x = 335,807.08
  5. Step 5: Solve for x
    x = 335,807.08/518.76
  6. Step 6: Final answer
    x = 647.33

Related Problems

Find fourth proportional to 259.38, 357.12 and 235.08
Half scale
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Double scale
Find fourth proportional to 519.76, 715.62 and 471.16
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.