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Finding the Fourth Proportional to 510.04, 702.03 and 426.22

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Solution

The fourth proportional to 510.04, 702.03 and 426.22 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 702.03 = 426.22 : x
  2. Step 2: Convert to fraction form
    510.04/702.03 = 426.22/x
  3. Step 3: Cross multiply
    510.04x = 702.03 × 426.22
  4. Step 4: Simplify right side
    510.04x = 299,219.23
  5. Step 5: Solve for x
    x = 299,219.23/510.04
  6. Step 6: Final answer
    x = 586.66

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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.