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Finding the Fourth Proportional to 1,158.68, 1,599.05 and 971.84

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Solution

The fourth proportional to 1,158.68, 1,599.05 and 971.84 is: 1,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.68 : 1,599.05 = 971.84 : x
  2. Step 2: Convert to fraction form
    1,158.68/1,599.05 = 971.84/x
  3. Step 3: Cross multiply
    1,158.68x = 1,599.05 × 971.84
  4. Step 4: Simplify right side
    1,158.68x = 1,554,020.75
  5. Step 5: Solve for x
    x = 1,554,020.75/1,158.68
  6. Step 6: Final answer
    x = 1,341.20

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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.