Home / 1,323.86-1,985.76-458.15

Finding the Fourth Proportional to 1,323.86, 1,985.76 and 458.15

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Solution

The fourth proportional to 1,323.86, 1,985.76 and 458.15 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.86 : 1,985.76 = 458.15 : x
  2. Step 2: Convert to fraction form
    1,323.86/1,985.76 = 458.15/x
  3. Step 3: Cross multiply
    1,323.86x = 1,985.76 × 458.15
  4. Step 4: Simplify right side
    1,323.86x = 909,766.02
  5. Step 5: Solve for x
    x = 909,766.02/1,323.86
  6. Step 6: Final answer
    x = 687.21

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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.