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Finding the Fourth Proportional to 630.77, 946.37 and 284.06

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Solution

The fourth proportional to 630.77, 946.37 and 284.06 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.77 : 946.37 = 284.06 : x
  2. Step 2: Convert to fraction form
    630.77/946.37 = 284.06/x
  3. Step 3: Cross multiply
    630.77x = 946.37 × 284.06
  4. Step 4: Simplify right side
    630.77x = 268,828.94
  5. Step 5: Solve for x
    x = 268,828.94/630.77
  6. Step 6: Final answer
    x = 426.20

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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.