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Finding the Fourth Proportional to 916.52, 1,372.95 and 569.03

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Solution

The fourth proportional to 916.52, 1,372.95 and 569.03 is: 852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.52 : 1,372.95 = 569.03 : x
  2. Step 2: Convert to fraction form
    916.52/1,372.95 = 569.03/x
  3. Step 3: Cross multiply
    916.52x = 1,372.95 × 569.03
  4. Step 4: Simplify right side
    916.52x = 781,242.87
  5. Step 5: Solve for x
    x = 781,242.87/916.52
  6. Step 6: Final answer
    x = 852.41

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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.