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Finding the Fourth Proportional to 836.10, 1,152.18 and 702.99

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Solution

The fourth proportional to 836.10, 1,152.18 and 702.99 is: 968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.10 : 1,152.18 = 702.99 : x
  2. Step 2: Convert to fraction form
    836.10/1,152.18 = 702.99/x
  3. Step 3: Cross multiply
    836.10x = 1,152.18 × 702.99
  4. Step 4: Simplify right side
    836.10x = 809,971.02
  5. Step 5: Solve for x
    x = 809,971.02/836.10
  6. Step 6: Final answer
    x = 968.75

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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.