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Finding the Fourth Proportional to 941.85, 1,298.25 and 702.18

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Solution

The fourth proportional to 941.85, 1,298.25 and 702.18 is: 967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.85 : 1,298.25 = 702.18 : x
  2. Step 2: Convert to fraction form
    941.85/1,298.25 = 702.18/x
  3. Step 3: Cross multiply
    941.85x = 1,298.25 × 702.18
  4. Step 4: Simplify right side
    941.85x = 911,605.19
  5. Step 5: Solve for x
    x = 911,605.19/941.85
  6. Step 6: Final answer
    x = 967.89

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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.