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Finding the Fourth Proportional to 705.12, 973.02 and 425.46

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Solution

The fourth proportional to 705.12, 973.02 and 425.46 is: 587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 973.02 = 425.46 : x
  2. Step 2: Convert to fraction form
    705.12/973.02 = 425.46/x
  3. Step 3: Cross multiply
    705.12x = 973.02 × 425.46
  4. Step 4: Simplify right side
    705.12x = 413,981.09
  5. Step 5: Solve for x
    x = 413,981.09/705.12
  6. Step 6: Final answer
    x = 587.11

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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.