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Finding the Fourth Proportional to 566.28, 780.84 and 532.80

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Solution

The fourth proportional to 566.28, 780.84 and 532.80 is: 734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 780.84 = 532.80 : x
  2. Step 2: Convert to fraction form
    566.28/780.84 = 532.80/x
  3. Step 3: Cross multiply
    566.28x = 780.84 × 532.80
  4. Step 4: Simplify right side
    566.28x = 416,031.55
  5. Step 5: Solve for x
    x = 416,031.55/566.28
  6. Step 6: Final answer
    x = 734.67

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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.