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Finding the Fourth Proportional to 1,153.32, 1,729.98 and 320.40

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Solution

The fourth proportional to 1,153.32, 1,729.98 and 320.40 is: 480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.32 : 1,729.98 = 320.40 : x
  2. Step 2: Convert to fraction form
    1,153.32/1,729.98 = 320.40/x
  3. Step 3: Cross multiply
    1,153.32x = 1,729.98 × 320.40
  4. Step 4: Simplify right side
    1,153.32x = 554,275.34
  5. Step 5: Solve for x
    x = 554,275.34/1,153.32
  6. Step 6: Final answer
    x = 480.59

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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.