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Finding the Fourth Proportional to 1,157.87, 1,597.41 and 715.01

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Solution

The fourth proportional to 1,157.87, 1,597.41 and 715.01 is: 986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.87 : 1,597.41 = 715.01 : x
  2. Step 2: Convert to fraction form
    1,157.87/1,597.41 = 715.01/x
  3. Step 3: Cross multiply
    1,157.87x = 1,597.41 × 715.01
  4. Step 4: Simplify right side
    1,157.87x = 1,142,156.14
  5. Step 5: Solve for x
    x = 1,142,156.14/1,157.87
  6. Step 6: Final answer
    x = 986.43

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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.