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Finding the Fourth Proportional to 671.60, 1,005.24 and 346.52

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Solution

The fourth proportional to 671.60, 1,005.24 and 346.52 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 1,005.24 = 346.52 : x
  2. Step 2: Convert to fraction form
    671.60/1,005.24 = 346.52/x
  3. Step 3: Cross multiply
    671.60x = 1,005.24 × 346.52
  4. Step 4: Simplify right side
    671.60x = 348,335.76
  5. Step 5: Solve for x
    x = 348,335.76/671.60
  6. Step 6: Final answer
    x = 518.67

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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.