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Finding the Fourth Proportional to 1,007.47, 1,511.52 and 459.55

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Solution

The fourth proportional to 1,007.47, 1,511.52 and 459.55 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.47 : 1,511.52 = 459.55 : x
  2. Step 2: Convert to fraction form
    1,007.47/1,511.52 = 459.55/x
  3. Step 3: Cross multiply
    1,007.47x = 1,511.52 × 459.55
  4. Step 4: Simplify right side
    1,007.47x = 694,619.02
  5. Step 5: Solve for x
    x = 694,619.02/1,007.47
  6. Step 6: Final answer
    x = 689.47

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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.