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Finding the Fourth Proportional to 816.48, 1,127.18 and 564.70

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Solution

The fourth proportional to 816.48, 1,127.18 and 564.70 is: 779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,127.18 = 564.70 : x
  2. Step 2: Convert to fraction form
    816.48/1,127.18 = 564.70/x
  3. Step 3: Cross multiply
    816.48x = 1,127.18 × 564.70
  4. Step 4: Simplify right side
    816.48x = 636,518.55
  5. Step 5: Solve for x
    x = 636,518.55/816.48
  6. Step 6: Final answer
    x = 779.59

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1.5x scale

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.