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Finding the Fourth Proportional to 702.28, 1,051.12 and 564.40

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Solution

The fourth proportional to 702.28, 1,051.12 and 564.40 is: 844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.28 : 1,051.12 = 564.40 : x
  2. Step 2: Convert to fraction form
    702.28/1,051.12 = 564.40/x
  3. Step 3: Cross multiply
    702.28x = 1,051.12 × 564.40
  4. Step 4: Simplify right side
    702.28x = 593,252.13
  5. Step 5: Solve for x
    x = 593,252.13/702.28
  6. Step 6: Final answer
    x = 844.75

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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.