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Finding the Fourth Proportional to 1,085.49, 1,497.97 and 588.13

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Solution

The fourth proportional to 1,085.49, 1,497.97 and 588.13 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.49 : 1,497.97 = 588.13 : x
  2. Step 2: Convert to fraction form
    1,085.49/1,497.97 = 588.13/x
  3. Step 3: Cross multiply
    1,085.49x = 1,497.97 × 588.13
  4. Step 4: Simplify right side
    1,085.49x = 880,990.67
  5. Step 5: Solve for x
    x = 880,990.67/1,085.49
  6. Step 6: Final answer
    x = 811.61

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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.