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Finding the Fourth Proportional to 532.50, 797.98 and 378.74

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Solution

The fourth proportional to 532.50, 797.98 and 378.74 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 797.98 = 378.74 : x
  2. Step 2: Convert to fraction form
    532.50/797.98 = 378.74/x
  3. Step 3: Cross multiply
    532.50x = 797.98 × 378.74
  4. Step 4: Simplify right side
    532.50x = 302,221.06
  5. Step 5: Solve for x
    x = 302,221.06/532.50
  6. Step 6: Final answer
    x = 567.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.