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Finding the Fourth Proportional to 631.03, 946.40 and 284.17

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Solution

The fourth proportional to 631.03, 946.40 and 284.17 is: 426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.03 : 946.40 = 284.17 : x
  2. Step 2: Convert to fraction form
    631.03/946.40 = 284.17/x
  3. Step 3: Cross multiply
    631.03x = 946.40 × 284.17
  4. Step 4: Simplify right side
    631.03x = 268,938.49
  5. Step 5: Solve for x
    x = 268,938.49/631.03
  6. Step 6: Final answer
    x = 426.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.