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Finding the Fourth Proportional to 474.60, 710.10 and 312.60

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Solution

The fourth proportional to 474.60, 710.10 and 312.60 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 710.10 = 312.60 : x
  2. Step 2: Convert to fraction form
    474.60/710.10 = 312.60/x
  3. Step 3: Cross multiply
    474.60x = 710.10 × 312.60
  4. Step 4: Simplify right side
    474.60x = 221,977.26
  5. Step 5: Solve for x
    x = 221,977.26/474.60
  6. Step 6: Final answer
    x = 467.71

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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.