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Finding the Fourth Proportional to 705.84, 974.15 and 407.13

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Solution

The fourth proportional to 705.84, 974.15 and 407.13 is: 561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 974.15 = 407.13 : x
  2. Step 2: Convert to fraction form
    705.84/974.15 = 407.13/x
  3. Step 3: Cross multiply
    705.84x = 974.15 × 407.13
  4. Step 4: Simplify right side
    705.84x = 396,603.65
  5. Step 5: Solve for x
    x = 396,603.65/705.84
  6. Step 6: Final answer
    x = 561.89

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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.