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Finding the Fourth Proportional to 821.57, 1,133.39 and 555.92

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Solution

The fourth proportional to 821.57, 1,133.39 and 555.92 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.57 : 1,133.39 = 555.92 : x
  2. Step 2: Convert to fraction form
    821.57/1,133.39 = 555.92/x
  3. Step 3: Cross multiply
    821.57x = 1,133.39 × 555.92
  4. Step 4: Simplify right side
    821.57x = 630,065.72
  5. Step 5: Solve for x
    x = 630,065.72/821.57
  6. Step 6: Final answer
    x = 766.91

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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.