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Finding the Fourth Proportional to 1,127.48, 1,690.23 and 542.18

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Solution

The fourth proportional to 1,127.48, 1,690.23 and 542.18 is: 812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.48 : 1,690.23 = 542.18 : x
  2. Step 2: Convert to fraction form
    1,127.48/1,690.23 = 542.18/x
  3. Step 3: Cross multiply
    1,127.48x = 1,690.23 × 542.18
  4. Step 4: Simplify right side
    1,127.48x = 916,415.16
  5. Step 5: Solve for x
    x = 916,415.16/1,127.48
  6. Step 6: Final answer
    x = 812.80

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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.