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Finding the Fourth Proportional to 1,152.49, 1,728.19 and 421.55

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Solution

The fourth proportional to 1,152.49, 1,728.19 and 421.55 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.49 : 1,728.19 = 421.55 : x
  2. Step 2: Convert to fraction form
    1,152.49/1,728.19 = 421.55/x
  3. Step 3: Cross multiply
    1,152.49x = 1,728.19 × 421.55
  4. Step 4: Simplify right side
    1,152.49x = 728,526.03
  5. Step 5: Solve for x
    x = 728,526.03/1,152.49
  6. Step 6: Final answer
    x = 632.13

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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.