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Finding the Fourth Proportional to 677.53, 1,018.57 and 542.06

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Solution

The fourth proportional to 677.53, 1,018.57 and 542.06 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 1,018.57 = 542.06 : x
  2. Step 2: Convert to fraction form
    677.53/1,018.57 = 542.06/x
  3. Step 3: Cross multiply
    677.53x = 1,018.57 × 542.06
  4. Step 4: Simplify right side
    677.53x = 552,126.05
  5. Step 5: Solve for x
    x = 552,126.05/677.53
  6. Step 6: Final answer
    x = 814.91

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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.