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Finding the Fourth Proportional to 702.35, 969.51 and 528.20

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Solution

The fourth proportional to 702.35, 969.51 and 528.20 is: 729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.35 : 969.51 = 528.20 : x
  2. Step 2: Convert to fraction form
    702.35/969.51 = 528.20/x
  3. Step 3: Cross multiply
    702.35x = 969.51 × 528.20
  4. Step 4: Simplify right side
    702.35x = 512,095.18
  5. Step 5: Solve for x
    x = 512,095.18/702.35
  6. Step 6: Final answer
    x = 729.12

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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.