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Finding the Fourth Proportional to 801.32, 1,106.33 and 654.30

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Solution

The fourth proportional to 801.32, 1,106.33 and 654.30 is: 903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.32 : 1,106.33 = 654.30 : x
  2. Step 2: Convert to fraction form
    801.32/1,106.33 = 654.30/x
  3. Step 3: Cross multiply
    801.32x = 1,106.33 × 654.30
  4. Step 4: Simplify right side
    801.32x = 723,868.45
  5. Step 5: Solve for x
    x = 723,868.45/801.32
  6. Step 6: Final answer
    x = 903.35

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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.