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Finding the Fourth Proportional to 1,167.71, 1,607.45 and 1,020.15

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Solution

The fourth proportional to 1,167.71, 1,607.45 and 1,020.15 is: 1,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.71 : 1,607.45 = 1,020.15 : x
  2. Step 2: Convert to fraction form
    1,167.71/1,607.45 = 1,020.15/x
  3. Step 3: Cross multiply
    1,167.71x = 1,607.45 × 1,020.15
  4. Step 4: Simplify right side
    1,167.71x = 1,639,835.02
  5. Step 5: Solve for x
    x = 1,639,835.02/1,167.71
  6. Step 6: Final answer
    x = 1,404.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.