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Finding the Fourth Proportional to 630.48, 946.02 and 284.06

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Solution

The fourth proportional to 630.48, 946.02 and 284.06 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.48 : 946.02 = 284.06 : x
  2. Step 2: Convert to fraction form
    630.48/946.02 = 284.06/x
  3. Step 3: Cross multiply
    630.48x = 946.02 × 284.06
  4. Step 4: Simplify right side
    630.48x = 268,721.71
  5. Step 5: Solve for x
    x = 268,721.71/630.48
  6. Step 6: Final answer
    x = 426.22

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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.