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Finding the Fourth Proportional to 1,147.79, 1,713.90 and 901.55

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Solution

The fourth proportional to 1,147.79, 1,713.90 and 901.55 is: 1,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.79 : 1,713.90 = 901.55 : x
  2. Step 2: Convert to fraction form
    1,147.79/1,713.90 = 901.55/x
  3. Step 3: Cross multiply
    1,147.79x = 1,713.90 × 901.55
  4. Step 4: Simplify right side
    1,147.79x = 1,545,168.80
  5. Step 5: Solve for x
    x = 1,545,168.80/1,147.79
  6. Step 6: Final answer
    x = 1,346.21

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1.5x scale

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.