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Finding the Fourth Proportional to 652.99, 978.40 and 470.11

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Solution

The fourth proportional to 652.99, 978.40 and 470.11 is: 704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.99 : 978.40 = 470.11 : x
  2. Step 2: Convert to fraction form
    652.99/978.40 = 470.11/x
  3. Step 3: Cross multiply
    652.99x = 978.40 × 470.11
  4. Step 4: Simplify right side
    652.99x = 459,948.38
  5. Step 5: Solve for x
    x = 459,948.38/652.99
  6. Step 6: Final answer
    x = 704.38

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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.