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Finding the Fourth Proportional to 705.18, 972.99 and 425.58

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Solution

The fourth proportional to 705.18, 972.99 and 425.58 is: 587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.18 : 972.99 = 425.58 : x
  2. Step 2: Convert to fraction form
    705.18/972.99 = 425.58/x
  3. Step 3: Cross multiply
    705.18x = 972.99 × 425.58
  4. Step 4: Simplify right side
    705.18x = 414,085.08
  5. Step 5: Solve for x
    x = 414,085.08/705.18
  6. Step 6: Final answer
    x = 587.20

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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.