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Finding the Fourth Proportional to 566.76, 781.22 and 478.37

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Solution

The fourth proportional to 566.76, 781.22 and 478.37 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 781.22 = 478.37 : x
  2. Step 2: Convert to fraction form
    566.76/781.22 = 478.37/x
  3. Step 3: Cross multiply
    566.76x = 781.22 × 478.37
  4. Step 4: Simplify right side
    566.76x = 373,705.91
  5. Step 5: Solve for x
    x = 373,705.91/566.76
  6. Step 6: Final answer
    x = 659.37

Related Problems

Find fourth proportional to 283.38, 390.61 and 239.18
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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.