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Finding the Fourth Proportional to 975.60, 1,462.53 and 427.35

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Solution

The fourth proportional to 975.60, 1,462.53 and 427.35 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.60 : 1,462.53 = 427.35 : x
  2. Step 2: Convert to fraction form
    975.60/1,462.53 = 427.35/x
  3. Step 3: Cross multiply
    975.60x = 1,462.53 × 427.35
  4. Step 4: Simplify right side
    975.60x = 625,012.20
  5. Step 5: Solve for x
    x = 625,012.20/975.60
  6. Step 6: Final answer
    x = 640.64

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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.