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Finding the Fourth Proportional to 652.79, 978.50 and 470.09

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Solution

The fourth proportional to 652.79, 978.50 and 470.09 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 978.50 = 470.09 : x
  2. Step 2: Convert to fraction form
    652.79/978.50 = 470.09/x
  3. Step 3: Cross multiply
    652.79x = 978.50 × 470.09
  4. Step 4: Simplify right side
    652.79x = 459,978.54
  5. Step 5: Solve for x
    x = 459,978.54/652.79
  6. Step 6: Final answer
    x = 704.63

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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.