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Finding the Fourth Proportional to 881.68, 1,320.12 and 700.24

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Solution

The fourth proportional to 881.68, 1,320.12 and 700.24 is: 1,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.68 : 1,320.12 = 700.24 : x
  2. Step 2: Convert to fraction form
    881.68/1,320.12 = 700.24/x
  3. Step 3: Cross multiply
    881.68x = 1,320.12 × 700.24
  4. Step 4: Simplify right side
    881.68x = 924,400.83
  5. Step 5: Solve for x
    x = 924,400.83/881.68
  6. Step 6: Final answer
    x = 1,048.45

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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.