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Finding the Fourth Proportional to 943.48, 1,302.15 and 565.57

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Solution

The fourth proportional to 943.48, 1,302.15 and 565.57 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.48 : 1,302.15 = 565.57 : x
  2. Step 2: Convert to fraction form
    943.48/1,302.15 = 565.57/x
  3. Step 3: Cross multiply
    943.48x = 1,302.15 × 565.57
  4. Step 4: Simplify right side
    943.48x = 736,456.98
  5. Step 5: Solve for x
    x = 736,456.98/943.48
  6. Step 6: Final answer
    x = 780.58

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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.