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Finding the Fourth Proportional to 705.04, 972.84 and 406.24

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Solution

The fourth proportional to 705.04, 972.84 and 406.24 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 972.84 = 406.24 : x
  2. Step 2: Convert to fraction form
    705.04/972.84 = 406.24/x
  3. Step 3: Cross multiply
    705.04x = 972.84 × 406.24
  4. Step 4: Simplify right side
    705.04x = 395,206.52
  5. Step 5: Solve for x
    x = 395,206.52/705.04
  6. Step 6: Final answer
    x = 560.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.