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Finding the Fourth Proportional to 1,158.05, 1,598.42 and 715.70

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Solution

The fourth proportional to 1,158.05, 1,598.42 and 715.70 is: 987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.05 : 1,598.42 = 715.70 : x
  2. Step 2: Convert to fraction form
    1,158.05/1,598.42 = 715.70/x
  3. Step 3: Cross multiply
    1,158.05x = 1,598.42 × 715.70
  4. Step 4: Simplify right side
    1,158.05x = 1,143,994.98
  5. Step 5: Solve for x
    x = 1,143,994.98/1,158.05
  6. Step 6: Final answer
    x = 987.86

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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.