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Finding the Fourth Proportional to 510.12, 702.74 and 421.23

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Solution

The fourth proportional to 510.12, 702.74 and 421.23 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 702.74 = 421.23 : x
  2. Step 2: Convert to fraction form
    510.12/702.74 = 421.23/x
  3. Step 3: Cross multiply
    510.12x = 702.74 × 421.23
  4. Step 4: Simplify right side
    510.12x = 296,013.06
  5. Step 5: Solve for x
    x = 296,013.06/510.12
  6. Step 6: Final answer
    x = 580.28

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1.5x scale

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.