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Finding the Fourth Proportional to 1,423.90, 2,132.55 and 728.85

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Solution

The fourth proportional to 1,423.90, 2,132.55 and 728.85 is: 1,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.90 : 2,132.55 = 728.85 : x
  2. Step 2: Convert to fraction form
    1,423.90/2,132.55 = 728.85/x
  3. Step 3: Cross multiply
    1,423.90x = 2,132.55 × 728.85
  4. Step 4: Simplify right side
    1,423.90x = 1,554,307.12
  5. Step 5: Solve for x
    x = 1,554,307.12/1,423.90
  6. Step 6: Final answer
    x = 1,091.58

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1.5x scale

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.