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Finding the Fourth Proportional to 1,152.99, 1,591.16 and 710.73

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Solution

The fourth proportional to 1,152.99, 1,591.16 and 710.73 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.99 : 1,591.16 = 710.73 : x
  2. Step 2: Convert to fraction form
    1,152.99/1,591.16 = 710.73/x
  3. Step 3: Cross multiply
    1,152.99x = 1,591.16 × 710.73
  4. Step 4: Simplify right side
    1,152.99x = 1,130,881.59
  5. Step 5: Solve for x
    x = 1,130,881.59/1,152.99
  6. Step 6: Final answer
    x = 980.83

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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.