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Finding the Fourth Proportional to 702.84, 971.82 and 586.20

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Solution

The fourth proportional to 702.84, 971.82 and 586.20 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 971.82 = 586.20 : x
  2. Step 2: Convert to fraction form
    702.84/971.82 = 586.20/x
  3. Step 3: Cross multiply
    702.84x = 971.82 × 586.20
  4. Step 4: Simplify right side
    702.84x = 569,680.88
  5. Step 5: Solve for x
    x = 569,680.88/702.84
  6. Step 6: Final answer
    x = 810.54

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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.