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Finding the Fourth Proportional to 962.48, 1,327.80 and 647.68

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Solution

The fourth proportional to 962.48, 1,327.80 and 647.68 is: 893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.48 : 1,327.80 = 647.68 : x
  2. Step 2: Convert to fraction form
    962.48/1,327.80 = 647.68/x
  3. Step 3: Cross multiply
    962.48x = 1,327.80 × 647.68
  4. Step 4: Simplify right side
    962.48x = 859,989.50
  5. Step 5: Solve for x
    x = 859,989.50/962.48
  6. Step 6: Final answer
    x = 893.51

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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.