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Finding the Fourth Proportional to 882.54, 1,323.18 and 722.16

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Solution

The fourth proportional to 882.54, 1,323.18 and 722.16 is: 1,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.54 : 1,323.18 = 722.16 : x
  2. Step 2: Convert to fraction form
    882.54/1,323.18 = 722.16/x
  3. Step 3: Cross multiply
    882.54x = 1,323.18 × 722.16
  4. Step 4: Simplify right side
    882.54x = 955,547.67
  5. Step 5: Solve for x
    x = 955,547.67/882.54
  6. Step 6: Final answer
    x = 1,082.72

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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.