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Finding the Fourth Proportional to 1,157.06, 1,597.04 and 709.08

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Solution

The fourth proportional to 1,157.06, 1,597.04 and 709.08 is: 978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.06 : 1,597.04 = 709.08 : x
  2. Step 2: Convert to fraction form
    1,157.06/1,597.04 = 709.08/x
  3. Step 3: Cross multiply
    1,157.06x = 1,597.04 × 709.08
  4. Step 4: Simplify right side
    1,157.06x = 1,132,429.12
  5. Step 5: Solve for x
    x = 1,132,429.12/1,157.06
  6. Step 6: Final answer
    x = 978.71

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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.