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Finding the Fourth Proportional to 1,085.48, 1,497.96 and 588.11

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Solution

The fourth proportional to 1,085.48, 1,497.96 and 588.11 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.48 : 1,497.96 = 588.11 : x
  2. Step 2: Convert to fraction form
    1,085.48/1,497.96 = 588.11/x
  3. Step 3: Cross multiply
    1,085.48x = 1,497.96 × 588.11
  4. Step 4: Simplify right side
    1,085.48x = 880,966.19
  5. Step 5: Solve for x
    x = 880,966.19/1,085.48
  6. Step 6: Final answer
    x = 811.59

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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.