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Finding the Fourth Proportional to 615.16, 849.42 and 419.32

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Solution

The fourth proportional to 615.16, 849.42 and 419.32 is: 579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.16 : 849.42 = 419.32 : x
  2. Step 2: Convert to fraction form
    615.16/849.42 = 419.32/x
  3. Step 3: Cross multiply
    615.16x = 849.42 × 419.32
  4. Step 4: Simplify right side
    615.16x = 356,178.79
  5. Step 5: Solve for x
    x = 356,178.79/615.16
  6. Step 6: Final answer
    x = 579.00

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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.