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Finding the Fourth Proportional to 653.58, 902.03 and 542.87

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Solution

The fourth proportional to 653.58, 902.03 and 542.87 is: 749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.58 : 902.03 = 542.87 : x
  2. Step 2: Convert to fraction form
    653.58/902.03 = 542.87/x
  3. Step 3: Cross multiply
    653.58x = 902.03 × 542.87
  4. Step 4: Simplify right side
    653.58x = 489,681.18
  5. Step 5: Solve for x
    x = 489,681.18/653.58
  6. Step 6: Final answer
    x = 749.23

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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.