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Finding the Fourth Proportional to 705.84, 974.40 and 470.18

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Solution

The fourth proportional to 705.84, 974.40 and 470.18 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 974.40 = 470.18 : x
  2. Step 2: Convert to fraction form
    705.84/974.40 = 470.18/x
  3. Step 3: Cross multiply
    705.84x = 974.40 × 470.18
  4. Step 4: Simplify right side
    705.84x = 458,143.39
  5. Step 5: Solve for x
    x = 458,143.39/705.84
  6. Step 6: Final answer
    x = 649.08

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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.