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Finding the Fourth Proportional to 1,151.47, 1,589.11 and 703.30

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Solution

The fourth proportional to 1,151.47, 1,589.11 and 703.30 is: 970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.47 : 1,589.11 = 703.30 : x
  2. Step 2: Convert to fraction form
    1,151.47/1,589.11 = 703.30/x
  3. Step 3: Cross multiply
    1,151.47x = 1,589.11 × 703.30
  4. Step 4: Simplify right side
    1,151.47x = 1,117,621.06
  5. Step 5: Solve for x
    x = 1,117,621.06/1,151.47
  6. Step 6: Final answer
    x = 970.60

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1.5x scale

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.