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Finding the Fourth Proportional to 975.42, 1,462.17 and 390.24

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Solution

The fourth proportional to 975.42, 1,462.17 and 390.24 is: 584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,462.17 = 390.24 : x
  2. Step 2: Convert to fraction form
    975.42/1,462.17 = 390.24/x
  3. Step 3: Cross multiply
    975.42x = 1,462.17 × 390.24
  4. Step 4: Simplify right side
    975.42x = 570,597.22
  5. Step 5: Solve for x
    x = 570,597.22/975.42
  6. Step 6: Final answer
    x = 584.98

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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.