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Finding the Fourth Proportional to 882.84, 1,325.05 and 648.87

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Solution

The fourth proportional to 882.84, 1,325.05 and 648.87 is: 973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 1,325.05 = 648.87 : x
  2. Step 2: Convert to fraction form
    882.84/1,325.05 = 648.87/x
  3. Step 3: Cross multiply
    882.84x = 1,325.05 × 648.87
  4. Step 4: Simplify right side
    882.84x = 859,785.19
  5. Step 5: Solve for x
    x = 859,785.19/882.84
  6. Step 6: Final answer
    x = 973.89

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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.