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Finding the Fourth Proportional to 706.47, 1,058.86 and 698.77

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Solution

The fourth proportional to 706.47, 1,058.86 and 698.77 is: 1,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 1,058.86 = 698.77 : x
  2. Step 2: Convert to fraction form
    706.47/1,058.86 = 698.77/x
  3. Step 3: Cross multiply
    706.47x = 1,058.86 × 698.77
  4. Step 4: Simplify right side
    706.47x = 739,899.60
  5. Step 5: Solve for x
    x = 739,899.60/706.47
  6. Step 6: Final answer
    x = 1,047.32

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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.