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Finding the Fourth Proportional to 1,432.01, 1,975.48 and 934.81

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Solution

The fourth proportional to 1,432.01, 1,975.48 and 934.81 is: 1,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.01 : 1,975.48 = 934.81 : x
  2. Step 2: Convert to fraction form
    1,432.01/1,975.48 = 934.81/x
  3. Step 3: Cross multiply
    1,432.01x = 1,975.48 × 934.81
  4. Step 4: Simplify right side
    1,432.01x = 1,846,698.46
  5. Step 5: Solve for x
    x = 1,846,698.46/1,432.01
  6. Step 6: Final answer
    x = 1,289.58

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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.