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Finding the Fourth Proportional to 900.72, 1,242.54 and 546.75

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Solution

The fourth proportional to 900.72, 1,242.54 and 546.75 is: 754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.72 : 1,242.54 = 546.75 : x
  2. Step 2: Convert to fraction form
    900.72/1,242.54 = 546.75/x
  3. Step 3: Cross multiply
    900.72x = 1,242.54 × 546.75
  4. Step 4: Simplify right side
    900.72x = 679,358.75
  5. Step 5: Solve for x
    x = 679,358.75/900.72
  6. Step 6: Final answer
    x = 754.24

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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.