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Finding the Fourth Proportional to 652.47, 978.58 and 305.71

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Solution

The fourth proportional to 652.47, 978.58 and 305.71 is: 458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.47 : 978.58 = 305.71 : x
  2. Step 2: Convert to fraction form
    652.47/978.58 = 305.71/x
  3. Step 3: Cross multiply
    652.47x = 978.58 × 305.71
  4. Step 4: Simplify right side
    652.47x = 299,163.41
  5. Step 5: Solve for x
    x = 299,163.41/652.47
  6. Step 6: Final answer
    x = 458.51

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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.