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Finding the Fourth Proportional to 953.24, 1,428.72 and 542.60

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Solution

The fourth proportional to 953.24, 1,428.72 and 542.60 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.24 : 1,428.72 = 542.60 : x
  2. Step 2: Convert to fraction form
    953.24/1,428.72 = 542.60/x
  3. Step 3: Cross multiply
    953.24x = 1,428.72 × 542.60
  4. Step 4: Simplify right side
    953.24x = 775,223.47
  5. Step 5: Solve for x
    x = 775,223.47/953.24
  6. Step 6: Final answer
    x = 813.25

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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.