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Finding the Fourth Proportional to 566.46, 781.38 and 369.90

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Solution

The fourth proportional to 566.46, 781.38 and 369.90 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 781.38 = 369.90 : x
  2. Step 2: Convert to fraction form
    566.46/781.38 = 369.90/x
  3. Step 3: Cross multiply
    566.46x = 781.38 × 369.90
  4. Step 4: Simplify right side
    566.46x = 289,032.46
  5. Step 5: Solve for x
    x = 289,032.46/566.46
  6. Step 6: Final answer
    x = 510.24

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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.