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Finding the Fourth Proportional to 509.55, 702.77 and 352.24

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Solution

The fourth proportional to 509.55, 702.77 and 352.24 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 702.77 = 352.24 : x
  2. Step 2: Convert to fraction form
    509.55/702.77 = 352.24/x
  3. Step 3: Cross multiply
    509.55x = 702.77 × 352.24
  4. Step 4: Simplify right side
    509.55x = 247,543.70
  5. Step 5: Solve for x
    x = 247,543.70/509.55
  6. Step 6: Final answer
    x = 485.81

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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.