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Finding the Fourth Proportional to 510.03, 702.53 and 399.31

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Solution

The fourth proportional to 510.03, 702.53 and 399.31 is: 550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.03 : 702.53 = 399.31 : x
  2. Step 2: Convert to fraction form
    510.03/702.53 = 399.31/x
  3. Step 3: Cross multiply
    510.03x = 702.53 × 399.31
  4. Step 4: Simplify right side
    510.03x = 280,525.00
  5. Step 5: Solve for x
    x = 280,525.00/510.03
  6. Step 6: Final answer
    x = 550.02

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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.