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Finding the Fourth Proportional to 705.59, 973.92 and 456.90

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Solution

The fourth proportional to 705.59, 973.92 and 456.90 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 973.92 = 456.90 : x
  2. Step 2: Convert to fraction form
    705.59/973.92 = 456.90/x
  3. Step 3: Cross multiply
    705.59x = 973.92 × 456.90
  4. Step 4: Simplify right side
    705.59x = 444,984.05
  5. Step 5: Solve for x
    x = 444,984.05/705.59
  6. Step 6: Final answer
    x = 630.66

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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.