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Finding the Fourth Proportional to 745.13, 1,118.10 and 502.13

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Solution

The fourth proportional to 745.13, 1,118.10 and 502.13 is: 753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.13 : 1,118.10 = 502.13 : x
  2. Step 2: Convert to fraction form
    745.13/1,118.10 = 502.13/x
  3. Step 3: Cross multiply
    745.13x = 1,118.10 × 502.13
  4. Step 4: Simplify right side
    745.13x = 561,431.55
  5. Step 5: Solve for x
    x = 561,431.55/745.13
  6. Step 6: Final answer
    x = 753.47

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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.