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Finding the Fourth Proportional to 607.10, 910.71 and 174.22

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Solution

The fourth proportional to 607.10, 910.71 and 174.22 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.10 : 910.71 = 174.22 : x
  2. Step 2: Convert to fraction form
    607.10/910.71 = 174.22/x
  3. Step 3: Cross multiply
    607.10x = 910.71 × 174.22
  4. Step 4: Simplify right side
    607.10x = 158,661.62
  5. Step 5: Solve for x
    x = 158,661.62/607.10
  6. Step 6: Final answer
    x = 261.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.