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Finding the Fourth Proportional to 590.98, 814.79 and 507.90

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Solution

The fourth proportional to 590.98, 814.79 and 507.90 is: 700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.98 : 814.79 = 507.90 : x
  2. Step 2: Convert to fraction form
    590.98/814.79 = 507.90/x
  3. Step 3: Cross multiply
    590.98x = 814.79 × 507.90
  4. Step 4: Simplify right side
    590.98x = 413,829.30
  5. Step 5: Solve for x
    x = 413,829.30/590.98
  6. Step 6: Final answer
    x = 700.25

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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.