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Finding the Fourth Proportional to 824.04, 1,135.22 and 649.08

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Solution

The fourth proportional to 824.04, 1,135.22 and 649.08 is: 894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,135.22 = 649.08 : x
  2. Step 2: Convert to fraction form
    824.04/1,135.22 = 649.08/x
  3. Step 3: Cross multiply
    824.04x = 1,135.22 × 649.08
  4. Step 4: Simplify right side
    824.04x = 736,848.60
  5. Step 5: Solve for x
    x = 736,848.60/824.04
  6. Step 6: Final answer
    x = 894.19

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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.