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Finding the Fourth Proportional to 1,151.65, 1,588.48 and 708.99

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Solution

The fourth proportional to 1,151.65, 1,588.48 and 708.99 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.65 : 1,588.48 = 708.99 : x
  2. Step 2: Convert to fraction form
    1,151.65/1,588.48 = 708.99/x
  3. Step 3: Cross multiply
    1,151.65x = 1,588.48 × 708.99
  4. Step 4: Simplify right side
    1,151.65x = 1,126,216.44
  5. Step 5: Solve for x
    x = 1,126,216.44/1,151.65
  6. Step 6: Final answer
    x = 977.92

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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.