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Finding the Fourth Proportional to 1,613.98, 2,421.32 and 503.38

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Solution

The fourth proportional to 1,613.98, 2,421.32 and 503.38 is: 755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.98 : 2,421.32 = 503.38 : x
  2. Step 2: Convert to fraction form
    1,613.98/2,421.32 = 503.38/x
  3. Step 3: Cross multiply
    1,613.98x = 2,421.32 × 503.38
  4. Step 4: Simplify right side
    1,613.98x = 1,218,844.06
  5. Step 5: Solve for x
    x = 1,218,844.06/1,613.98
  6. Step 6: Final answer
    x = 755.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.