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Finding the Fourth Proportional to 435.90, 651.15 and 392.49

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Solution

The fourth proportional to 435.90, 651.15 and 392.49 is: 586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 651.15 = 392.49 : x
  2. Step 2: Convert to fraction form
    435.90/651.15 = 392.49/x
  3. Step 3: Cross multiply
    435.90x = 651.15 × 392.49
  4. Step 4: Simplify right side
    435.90x = 255,569.86
  5. Step 5: Solve for x
    x = 255,569.86/435.90
  6. Step 6: Final answer
    x = 586.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.