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Finding the Fourth Proportional to 409.58, 616.80 and 373.40

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Solution

The fourth proportional to 409.58, 616.80 and 373.40 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.58 : 616.80 = 373.40 : x
  2. Step 2: Convert to fraction form
    409.58/616.80 = 373.40/x
  3. Step 3: Cross multiply
    409.58x = 616.80 × 373.40
  4. Step 4: Simplify right side
    409.58x = 230,313.12
  5. Step 5: Solve for x
    x = 230,313.12/409.58
  6. Step 6: Final answer
    x = 562.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.