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Finding the Fourth Proportional to 705.55, 973.67 and 410.91

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Solution

The fourth proportional to 705.55, 973.67 and 410.91 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.55 : 973.67 = 410.91 : x
  2. Step 2: Convert to fraction form
    705.55/973.67 = 410.91/x
  3. Step 3: Cross multiply
    705.55x = 973.67 × 410.91
  4. Step 4: Simplify right side
    705.55x = 400,090.74
  5. Step 5: Solve for x
    x = 400,090.74/705.55
  6. Step 6: Final answer
    x = 567.06

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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.