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Finding the Fourth Proportional to 630.56, 870.48 and 409.77

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Solution

The fourth proportional to 630.56, 870.48 and 409.77 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.56 : 870.48 = 409.77 : x
  2. Step 2: Convert to fraction form
    630.56/870.48 = 409.77/x
  3. Step 3: Cross multiply
    630.56x = 870.48 × 409.77
  4. Step 4: Simplify right side
    630.56x = 356,696.59
  5. Step 5: Solve for x
    x = 356,696.59/630.56
  6. Step 6: Final answer
    x = 565.68

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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.