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Finding the Fourth Proportional to 751.18, 1,036.74 and 542.05

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Solution

The fourth proportional to 751.18, 1,036.74 and 542.05 is: 748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.18 : 1,036.74 = 542.05 : x
  2. Step 2: Convert to fraction form
    751.18/1,036.74 = 542.05/x
  3. Step 3: Cross multiply
    751.18x = 1,036.74 × 542.05
  4. Step 4: Simplify right side
    751.18x = 561,964.92
  5. Step 5: Solve for x
    x = 561,964.92/751.18
  6. Step 6: Final answer
    x = 748.11

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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.