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Finding the Fourth Proportional to 520.23, 716.45 and 508.89

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Solution

The fourth proportional to 520.23, 716.45 and 508.89 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 716.45 = 508.89 : x
  2. Step 2: Convert to fraction form
    520.23/716.45 = 508.89/x
  3. Step 3: Cross multiply
    520.23x = 716.45 × 508.89
  4. Step 4: Simplify right side
    520.23x = 364,590.02
  5. Step 5: Solve for x
    x = 364,590.02/520.23
  6. Step 6: Final answer
    x = 700.83

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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.