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Finding the Fourth Proportional to 1,152.60, 1,727.61 and 459.08

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Solution

The fourth proportional to 1,152.60, 1,727.61 and 459.08 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.60 : 1,727.61 = 459.08 : x
  2. Step 2: Convert to fraction form
    1,152.60/1,727.61 = 459.08/x
  3. Step 3: Cross multiply
    1,152.60x = 1,727.61 × 459.08
  4. Step 4: Simplify right side
    1,152.60x = 793,113.80
  5. Step 5: Solve for x
    x = 793,113.80/1,152.60
  6. Step 6: Final answer
    x = 688.11

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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.