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Finding the Fourth Proportional to 840.24, 1,151.07 and 809.10

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Solution

The fourth proportional to 840.24, 1,151.07 and 809.10 is: 1,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.24 : 1,151.07 = 809.10 : x
  2. Step 2: Convert to fraction form
    840.24/1,151.07 = 809.10/x
  3. Step 3: Cross multiply
    840.24x = 1,151.07 × 809.10
  4. Step 4: Simplify right side
    840.24x = 931,330.74
  5. Step 5: Solve for x
    x = 931,330.74/840.24
  6. Step 6: Final answer
    x = 1,108.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.