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Finding the Fourth Proportional to 1,121.76, 1,681.62 and 601.52

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Solution

The fourth proportional to 1,121.76, 1,681.62 and 601.52 is: 901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,681.62 = 601.52 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,681.62 = 601.52/x
  3. Step 3: Cross multiply
    1,121.76x = 1,681.62 × 601.52
  4. Step 4: Simplify right side
    1,121.76x = 1,011,528.06
  5. Step 5: Solve for x
    x = 1,011,528.06/1,121.76
  6. Step 6: Final answer
    x = 901.73

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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.