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Finding the Fourth Proportional to 750.39, 1,123.47 and 567.21

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Solution

The fourth proportional to 750.39, 1,123.47 and 567.21 is: 849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.39 : 1,123.47 = 567.21 : x
  2. Step 2: Convert to fraction form
    750.39/1,123.47 = 567.21/x
  3. Step 3: Cross multiply
    750.39x = 1,123.47 × 567.21
  4. Step 4: Simplify right side
    750.39x = 637,243.42
  5. Step 5: Solve for x
    x = 637,243.42/750.39
  6. Step 6: Final answer
    x = 849.22

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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.