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Finding the Fourth Proportional to 510.84, 763.02 and 423.63

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Solution

The fourth proportional to 510.84, 763.02 and 423.63 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 763.02 = 423.63 : x
  2. Step 2: Convert to fraction form
    510.84/763.02 = 423.63/x
  3. Step 3: Cross multiply
    510.84x = 763.02 × 423.63
  4. Step 4: Simplify right side
    510.84x = 323,238.16
  5. Step 5: Solve for x
    x = 323,238.16/510.84
  6. Step 6: Final answer
    x = 632.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.