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Finding the Fourth Proportional to 652.04, 978.06 and 408.10

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Solution

The fourth proportional to 652.04, 978.06 and 408.10 is: 612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 978.06 = 408.10 : x
  2. Step 2: Convert to fraction form
    652.04/978.06 = 408.10/x
  3. Step 3: Cross multiply
    652.04x = 978.06 × 408.10
  4. Step 4: Simplify right side
    652.04x = 399,146.29
  5. Step 5: Solve for x
    x = 399,146.29/652.04
  6. Step 6: Final answer
    x = 612.15

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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.