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Finding the Fourth Proportional to 705.59, 973.77 and 410.85

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Solution

The fourth proportional to 705.59, 973.77 and 410.85 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 973.77 = 410.85 : x
  2. Step 2: Convert to fraction form
    705.59/973.77 = 410.85/x
  3. Step 3: Cross multiply
    705.59x = 973.77 × 410.85
  4. Step 4: Simplify right side
    705.59x = 400,071.44
  5. Step 5: Solve for x
    x = 400,071.44/705.59
  6. Step 6: Final answer
    x = 567.01

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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.