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Finding the Fourth Proportional to 510.31, 702.70 and 399.54

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Solution

The fourth proportional to 510.31, 702.70 and 399.54 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.31 : 702.70 = 399.54 : x
  2. Step 2: Convert to fraction form
    510.31/702.70 = 399.54/x
  3. Step 3: Cross multiply
    510.31x = 702.70 × 399.54
  4. Step 4: Simplify right side
    510.31x = 280,756.76
  5. Step 5: Solve for x
    x = 280,756.76/510.31
  6. Step 6: Final answer
    x = 550.17

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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.