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Finding the Fourth Proportional to 706.86, 1,060.40 and 657.95

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Solution

The fourth proportional to 706.86, 1,060.40 and 657.95 is: 987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 1,060.40 = 657.95 : x
  2. Step 2: Convert to fraction form
    706.86/1,060.40 = 657.95/x
  3. Step 3: Cross multiply
    706.86x = 1,060.40 × 657.95
  4. Step 4: Simplify right side
    706.86x = 697,686.52
  5. Step 5: Solve for x
    x = 697,686.52/706.86
  6. Step 6: Final answer
    x = 987.02

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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.