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Finding the Fourth Proportional to 870.50, 1,305.81 and 383.46

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Solution

The fourth proportional to 870.50, 1,305.81 and 383.46 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.50 : 1,305.81 = 383.46 : x
  2. Step 2: Convert to fraction form
    870.50/1,305.81 = 383.46/x
  3. Step 3: Cross multiply
    870.50x = 1,305.81 × 383.46
  4. Step 4: Simplify right side
    870.50x = 500,725.90
  5. Step 5: Solve for x
    x = 500,725.90/870.50
  6. Step 6: Final answer
    x = 575.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.