Home / 1,432.10-2,148.42-458.01

Finding the Fourth Proportional to 1,432.10, 2,148.42 and 458.01

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Solution

The fourth proportional to 1,432.10, 2,148.42 and 458.01 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.10 : 2,148.42 = 458.01 : x
  2. Step 2: Convert to fraction form
    1,432.10/2,148.42 = 458.01/x
  3. Step 3: Cross multiply
    1,432.10x = 2,148.42 × 458.01
  4. Step 4: Simplify right side
    1,432.10x = 983,997.84
  5. Step 5: Solve for x
    x = 983,997.84/1,432.10
  6. Step 6: Final answer
    x = 687.10

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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.