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Finding the Fourth Proportional to 652.86, 978.60 and 406.06

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Solution

The fourth proportional to 652.86, 978.60 and 406.06 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.86 : 978.60 = 406.06 : x
  2. Step 2: Convert to fraction form
    652.86/978.60 = 406.06/x
  3. Step 3: Cross multiply
    652.86x = 978.60 × 406.06
  4. Step 4: Simplify right side
    652.86x = 397,370.32
  5. Step 5: Solve for x
    x = 397,370.32/652.86
  6. Step 6: Final answer
    x = 608.66

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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.