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Finding the Fourth Proportional to 889.13, 1,226.77 and 557.57

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Solution

The fourth proportional to 889.13, 1,226.77 and 557.57 is: 769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.13 : 1,226.77 = 557.57 : x
  2. Step 2: Convert to fraction form
    889.13/1,226.77 = 557.57/x
  3. Step 3: Cross multiply
    889.13x = 1,226.77 × 557.57
  4. Step 4: Simplify right side
    889.13x = 684,011.82
  5. Step 5: Solve for x
    x = 684,011.82/889.13
  6. Step 6: Final answer
    x = 769.30

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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.