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Finding the Fourth Proportional to 1,151.31, 1,588.23 and 708.51

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Solution

The fourth proportional to 1,151.31, 1,588.23 and 708.51 is: 977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.31 : 1,588.23 = 708.51 : x
  2. Step 2: Convert to fraction form
    1,151.31/1,588.23 = 708.51/x
  3. Step 3: Cross multiply
    1,151.31x = 1,588.23 × 708.51
  4. Step 4: Simplify right side
    1,151.31x = 1,125,276.84
  5. Step 5: Solve for x
    x = 1,125,276.84/1,151.31
  6. Step 6: Final answer
    x = 977.39

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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.