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Finding the Fourth Proportional to 518.32, 714.85 and 456.02

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Solution

The fourth proportional to 518.32, 714.85 and 456.02 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.32 : 714.85 = 456.02 : x
  2. Step 2: Convert to fraction form
    518.32/714.85 = 456.02/x
  3. Step 3: Cross multiply
    518.32x = 714.85 × 456.02
  4. Step 4: Simplify right side
    518.32x = 325,985.90
  5. Step 5: Solve for x
    x = 325,985.90/518.32
  6. Step 6: Final answer
    x = 628.93

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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.