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Finding the Fourth Proportional to 705.88, 1,053 and 591.06

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Solution

The fourth proportional to 705.88, 1,053 and 591.06 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 1,053 = 591.06 : x
  2. Step 2: Convert to fraction form
    705.88/1,053 = 591.06/x
  3. Step 3: Cross multiply
    705.88x = 1,053 × 591.06
  4. Step 4: Simplify right side
    705.88x = 622,390.13
  5. Step 5: Solve for x
    x = 622,390.13/705.88
  6. Step 6: Final answer
    x = 881.72

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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.