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Finding the Fourth Proportional to 882.48, 1,217.08 and 588.16

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Solution

The fourth proportional to 882.48, 1,217.08 and 588.16 is: 811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.48 : 1,217.08 = 588.16 : x
  2. Step 2: Convert to fraction form
    882.48/1,217.08 = 588.16/x
  3. Step 3: Cross multiply
    882.48x = 1,217.08 × 588.16
  4. Step 4: Simplify right side
    882.48x = 715,837.77
  5. Step 5: Solve for x
    x = 715,837.77/882.48
  6. Step 6: Final answer
    x = 811.17

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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.