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Finding the Fourth Proportional to 900, 1,242.40 and 546.08

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Solution

The fourth proportional to 900, 1,242.40 and 546.08 is: 753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    900 : 1,242.40 = 546.08 : x
  2. Step 2: Convert to fraction form
    900/1,242.40 = 546.08/x
  3. Step 3: Cross multiply
    900x = 1,242.40 × 546.08
  4. Step 4: Simplify right side
    900x = 678,449.79
  5. Step 5: Solve for x
    x = 678,449.79/900
  6. Step 6: Final answer
    x = 753.83

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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.