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Finding the Fourth Proportional to 412.34, 615.32 and 390.48

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Solution

The fourth proportional to 412.34, 615.32 and 390.48 is: 582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 615.32 = 390.48 : x
  2. Step 2: Convert to fraction form
    412.34/615.32 = 390.48/x
  3. Step 3: Cross multiply
    412.34x = 615.32 × 390.48
  4. Step 4: Simplify right side
    412.34x = 240,270.15
  5. Step 5: Solve for x
    x = 240,270.15/412.34
  6. Step 6: Final answer
    x = 582.70

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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.