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Finding the Fourth Proportional to 703.49, 1,055.54 and 542.49

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Solution

The fourth proportional to 703.49, 1,055.54 and 542.49 is: 813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.49 : 1,055.54 = 542.49 : x
  2. Step 2: Convert to fraction form
    703.49/1,055.54 = 542.49/x
  3. Step 3: Cross multiply
    703.49x = 1,055.54 × 542.49
  4. Step 4: Simplify right side
    703.49x = 572,617.18
  5. Step 5: Solve for x
    x = 572,617.18/703.49
  6. Step 6: Final answer
    x = 813.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.