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Finding the Fourth Proportional to 573.87, 790.09 and 510.55

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Solution

The fourth proportional to 573.87, 790.09 and 510.55 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.87 : 790.09 = 510.55 : x
  2. Step 2: Convert to fraction form
    573.87/790.09 = 510.55/x
  3. Step 3: Cross multiply
    573.87x = 790.09 × 510.55
  4. Step 4: Simplify right side
    573.87x = 403,380.45
  5. Step 5: Solve for x
    x = 403,380.45/573.87
  6. Step 6: Final answer
    x = 702.91

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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.