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Finding the Fourth Proportional to 677.98, 1,010.30 and 655.93

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Solution

The fourth proportional to 677.98, 1,010.30 and 655.93 is: 977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 1,010.30 = 655.93 : x
  2. Step 2: Convert to fraction form
    677.98/1,010.30 = 655.93/x
  3. Step 3: Cross multiply
    677.98x = 1,010.30 × 655.93
  4. Step 4: Simplify right side
    677.98x = 662,686.08
  5. Step 5: Solve for x
    x = 662,686.08/677.98
  6. Step 6: Final answer
    x = 977.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.