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Finding the Fourth Proportional to 1,079.86, 1,490.21 and 706.61

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Solution

The fourth proportional to 1,079.86, 1,490.21 and 706.61 is: 975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.86 : 1,490.21 = 706.61 : x
  2. Step 2: Convert to fraction form
    1,079.86/1,490.21 = 706.61/x
  3. Step 3: Cross multiply
    1,079.86x = 1,490.21 × 706.61
  4. Step 4: Simplify right side
    1,079.86x = 1,052,997.29
  5. Step 5: Solve for x
    x = 1,052,997.29/1,079.86
  6. Step 6: Final answer
    x = 975.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.