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Finding the Fourth Proportional to 827.51, 1,141.83 and 478.13

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Solution

The fourth proportional to 827.51, 1,141.83 and 478.13 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.51 : 1,141.83 = 478.13 : x
  2. Step 2: Convert to fraction form
    827.51/1,141.83 = 478.13/x
  3. Step 3: Cross multiply
    827.51x = 1,141.83 × 478.13
  4. Step 4: Simplify right side
    827.51x = 545,937.47
  5. Step 5: Solve for x
    x = 545,937.47/827.51
  6. Step 6: Final answer
    x = 659.74

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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.