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Finding the Fourth Proportional to 702.68, 969.59 and 407.89

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Solution

The fourth proportional to 702.68, 969.59 and 407.89 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 969.59 = 407.89 : x
  2. Step 2: Convert to fraction form
    702.68/969.59 = 407.89/x
  3. Step 3: Cross multiply
    702.68x = 969.59 × 407.89
  4. Step 4: Simplify right side
    702.68x = 395,488.81
  5. Step 5: Solve for x
    x = 395,488.81/702.68
  6. Step 6: Final answer
    x = 562.83

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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.