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Finding the Fourth Proportional to 1,129.23, 1,700.62 and 993.76

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Solution

The fourth proportional to 1,129.23, 1,700.62 and 993.76 is: 1,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.23 : 1,700.62 = 993.76 : x
  2. Step 2: Convert to fraction form
    1,129.23/1,700.62 = 993.76/x
  3. Step 3: Cross multiply
    1,129.23x = 1,700.62 × 993.76
  4. Step 4: Simplify right side
    1,129.23x = 1,690,001.40
  5. Step 5: Solve for x
    x = 1,690,001.40/1,129.23
  6. Step 6: Final answer
    x = 1,496.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.