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Finding the Fourth Proportional to 510.30, 703.49 and 421.91

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Solution

The fourth proportional to 510.30, 703.49 and 421.91 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 703.49 = 421.91 : x
  2. Step 2: Convert to fraction form
    510.30/703.49 = 421.91/x
  3. Step 3: Cross multiply
    510.30x = 703.49 × 421.91
  4. Step 4: Simplify right side
    510.30x = 296,806.48
  5. Step 5: Solve for x
    x = 296,806.48/510.30
  6. Step 6: Final answer
    x = 581.63

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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.