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Finding the Fourth Proportional to 510.45, 702.22 and 460.79

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Solution

The fourth proportional to 510.45, 702.22 and 460.79 is: 633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 702.22 = 460.79 : x
  2. Step 2: Convert to fraction form
    510.45/702.22 = 460.79/x
  3. Step 3: Cross multiply
    510.45x = 702.22 × 460.79
  4. Step 4: Simplify right side
    510.45x = 323,574.79
  5. Step 5: Solve for x
    x = 323,574.79/510.45
  6. Step 6: Final answer
    x = 633.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.