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Finding the Fourth Proportional to 897.13, 1,237.50 and 542.80

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Solution

The fourth proportional to 897.13, 1,237.50 and 542.80 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.13 : 1,237.50 = 542.80 : x
  2. Step 2: Convert to fraction form
    897.13/1,237.50 = 542.80/x
  3. Step 3: Cross multiply
    897.13x = 1,237.50 × 542.80
  4. Step 4: Simplify right side
    897.13x = 671,715
  5. Step 5: Solve for x
    x = 671,715/897.13
  6. Step 6: Final answer
    x = 748.74

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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.