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Finding the Fourth Proportional to 510.02, 763.14 and 304.70

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Solution

The fourth proportional to 510.02, 763.14 and 304.70 is: 455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 763.14 = 304.70 : x
  2. Step 2: Convert to fraction form
    510.02/763.14 = 304.70/x
  3. Step 3: Cross multiply
    510.02x = 763.14 × 304.70
  4. Step 4: Simplify right side
    510.02x = 232,528.76
  5. Step 5: Solve for x
    x = 232,528.76/510.02
  6. Step 6: Final answer
    x = 455.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.