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Finding the Fourth Proportional to 652.72, 978.60 and 305.86

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Solution

The fourth proportional to 652.72, 978.60 and 305.86 is: 458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 978.60 = 305.86 : x
  2. Step 2: Convert to fraction form
    652.72/978.60 = 305.86/x
  3. Step 3: Cross multiply
    652.72x = 978.60 × 305.86
  4. Step 4: Simplify right side
    652.72x = 299,312.15
  5. Step 5: Solve for x
    x = 299,312.15/652.72
  6. Step 6: Final answer
    x = 458.56

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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.