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Finding the Fourth Proportional to 882, 1,321.13 and 572.94

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Solution

The fourth proportional to 882, 1,321.13 and 572.94 is: 858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,321.13 = 572.94 : x
  2. Step 2: Convert to fraction form
    882/1,321.13 = 572.94/x
  3. Step 3: Cross multiply
    882x = 1,321.13 × 572.94
  4. Step 4: Simplify right side
    882x = 756,925.36
  5. Step 5: Solve for x
    x = 756,925.36/882
  6. Step 6: Final answer
    x = 858.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.