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Finding the Fourth Proportional to 702.78, 969.65 and 453.70

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Solution

The fourth proportional to 702.78, 969.65 and 453.70 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 969.65 = 453.70 : x
  2. Step 2: Convert to fraction form
    702.78/969.65 = 453.70/x
  3. Step 3: Cross multiply
    702.78x = 969.65 × 453.70
  4. Step 4: Simplify right side
    702.78x = 439,929.57
  5. Step 5: Solve for x
    x = 439,929.57/702.78
  6. Step 6: Final answer
    x = 625.99

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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.