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Finding the Fourth Proportional to 414.62, 570.95 and 283.40

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Solution

The fourth proportional to 414.62, 570.95 and 283.40 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.62 : 570.95 = 283.40 : x
  2. Step 2: Convert to fraction form
    414.62/570.95 = 283.40/x
  3. Step 3: Cross multiply
    414.62x = 570.95 × 283.40
  4. Step 4: Simplify right side
    414.62x = 161,805.81
  5. Step 5: Solve for x
    x = 161,805.81/414.62
  6. Step 6: Final answer
    x = 390.25

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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.