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Finding the Fourth Proportional to 504.55, 753.44 and 502.12

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Solution

The fourth proportional to 504.55, 753.44 and 502.12 is: 749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.55 : 753.44 = 502.12 : x
  2. Step 2: Convert to fraction form
    504.55/753.44 = 502.12/x
  3. Step 3: Cross multiply
    504.55x = 753.44 × 502.12
  4. Step 4: Simplify right side
    504.55x = 378,317.29
  5. Step 5: Solve for x
    x = 378,317.29/504.55
  6. Step 6: Final answer
    x = 749.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.