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Finding the Fourth Proportional to 702.42, 969.30 and 403.65

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Solution

The fourth proportional to 702.42, 969.30 and 403.65 is: 557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 969.30 = 403.65 : x
  2. Step 2: Convert to fraction form
    702.42/969.30 = 403.65/x
  3. Step 3: Cross multiply
    702.42x = 969.30 × 403.65
  4. Step 4: Simplify right side
    702.42x = 391,257.95
  5. Step 5: Solve for x
    x = 391,257.95/702.42
  6. Step 6: Final answer
    x = 557.01

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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.