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Finding the Fourth Proportional to 1,080.57, 1,490.76 and 637.77

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Solution

The fourth proportional to 1,080.57, 1,490.76 and 637.77 is: 879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.57 : 1,490.76 = 637.77 : x
  2. Step 2: Convert to fraction form
    1,080.57/1,490.76 = 637.77/x
  3. Step 3: Cross multiply
    1,080.57x = 1,490.76 × 637.77
  4. Step 4: Simplify right side
    1,080.57x = 950,762.01
  5. Step 5: Solve for x
    x = 950,762.01/1,080.57
  6. Step 6: Final answer
    x = 879.87

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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.