Home / 1,432.19-1,975.92-900.83

Finding the Fourth Proportional to 1,432.19, 1,975.92 and 900.83

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Solution

The fourth proportional to 1,432.19, 1,975.92 and 900.83 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.19 : 1,975.92 = 900.83 : x
  2. Step 2: Convert to fraction form
    1,432.19/1,975.92 = 900.83/x
  3. Step 3: Cross multiply
    1,432.19x = 1,975.92 × 900.83
  4. Step 4: Simplify right side
    1,432.19x = 1,779,968.01
  5. Step 5: Solve for x
    x = 1,779,968.01/1,432.19
  6. Step 6: Final answer
    x = 1,242.83

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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.