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Finding the Fourth Proportional to 749.33, 1,035.21 and 500.56

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Solution

The fourth proportional to 749.33, 1,035.21 and 500.56 is: 691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.33 : 1,035.21 = 500.56 : x
  2. Step 2: Convert to fraction form
    749.33/1,035.21 = 500.56/x
  3. Step 3: Cross multiply
    749.33x = 1,035.21 × 500.56
  4. Step 4: Simplify right side
    749.33x = 518,184.72
  5. Step 5: Solve for x
    x = 518,184.72/749.33
  6. Step 6: Final answer
    x = 691.53

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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.