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Finding the Fourth Proportional to 630.56, 870.14 and 394.16

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Solution

The fourth proportional to 630.56, 870.14 and 394.16 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.56 : 870.14 = 394.16 : x
  2. Step 2: Convert to fraction form
    630.56/870.14 = 394.16/x
  3. Step 3: Cross multiply
    630.56x = 870.14 × 394.16
  4. Step 4: Simplify right side
    630.56x = 342,974.38
  5. Step 5: Solve for x
    x = 342,974.38/630.56
  6. Step 6: Final answer
    x = 543.92

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1.5x scale

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.