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Finding the Fourth Proportional to 698.06, 1,041.97 and 647.30

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Solution

The fourth proportional to 698.06, 1,041.97 and 647.30 is: 966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 1,041.97 = 647.30 : x
  2. Step 2: Convert to fraction form
    698.06/1,041.97 = 647.30/x
  3. Step 3: Cross multiply
    698.06x = 1,041.97 × 647.30
  4. Step 4: Simplify right side
    698.06x = 674,467.18
  5. Step 5: Solve for x
    x = 674,467.18/698.06
  6. Step 6: Final answer
    x = 966.20

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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.