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Finding the Fourth Proportional to 975.43, 1,462.20 and 390.07

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Solution

The fourth proportional to 975.43, 1,462.20 and 390.07 is: 584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.43 : 1,462.20 = 390.07 : x
  2. Step 2: Convert to fraction form
    975.43/1,462.20 = 390.07/x
  3. Step 3: Cross multiply
    975.43x = 1,462.20 × 390.07
  4. Step 4: Simplify right side
    975.43x = 570,360.35
  5. Step 5: Solve for x
    x = 570,360.35/975.43
  6. Step 6: Final answer
    x = 584.73

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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.