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Finding the Fourth Proportional to 941.16, 1,298.72 and 542.81

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Solution

The fourth proportional to 941.16, 1,298.72 and 542.81 is: 749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,298.72 = 542.81 : x
  2. Step 2: Convert to fraction form
    941.16/1,298.72 = 542.81/x
  3. Step 3: Cross multiply
    941.16x = 1,298.72 × 542.81
  4. Step 4: Simplify right side
    941.16x = 704,962.81
  5. Step 5: Solve for x
    x = 704,962.81/941.16
  6. Step 6: Final answer
    x = 749.04

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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.