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Finding the Fourth Proportional to 1,332.02, 1,984.64 and 1,257.50

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Solution

The fourth proportional to 1,332.02, 1,984.64 and 1,257.50 is: 1,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.02 : 1,984.64 = 1,257.50 : x
  2. Step 2: Convert to fraction form
    1,332.02/1,984.64 = 1,257.50/x
  3. Step 3: Cross multiply
    1,332.02x = 1,984.64 × 1,257.50
  4. Step 4: Simplify right side
    1,332.02x = 2,495,684.80
  5. Step 5: Solve for x
    x = 2,495,684.80/1,332.02
  6. Step 6: Final answer
    x = 1,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.