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Finding the Fourth Proportional to 1,312.48, 1,969.52 and 542.88

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Solution

The fourth proportional to 1,312.48, 1,969.52 and 542.88 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.48 : 1,969.52 = 542.88 : x
  2. Step 2: Convert to fraction form
    1,312.48/1,969.52 = 542.88/x
  3. Step 3: Cross multiply
    1,312.48x = 1,969.52 × 542.88
  4. Step 4: Simplify right side
    1,312.48x = 1,069,213.02
  5. Step 5: Solve for x
    x = 1,069,213.02/1,312.48
  6. Step 6: Final answer
    x = 814.65

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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.