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Finding the Fourth Proportional to 962.79, 1,328.85 and 564.63

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Solution

The fourth proportional to 962.79, 1,328.85 and 564.63 is: 779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.79 : 1,328.85 = 564.63 : x
  2. Step 2: Convert to fraction form
    962.79/1,328.85 = 564.63/x
  3. Step 3: Cross multiply
    962.79x = 1,328.85 × 564.63
  4. Step 4: Simplify right side
    962.79x = 750,308.58
  5. Step 5: Solve for x
    x = 750,308.58/962.79
  6. Step 6: Final answer
    x = 779.31

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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.