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Finding the Fourth Proportional to 705.23, 971.35 and 635.10

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Solution

The fourth proportional to 705.23, 971.35 and 635.10 is: 874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.23 : 971.35 = 635.10 : x
  2. Step 2: Convert to fraction form
    705.23/971.35 = 635.10/x
  3. Step 3: Cross multiply
    705.23x = 971.35 × 635.10
  4. Step 4: Simplify right side
    705.23x = 616,904.39
  5. Step 5: Solve for x
    x = 616,904.39/705.23
  6. Step 6: Final answer
    x = 874.76

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1.5x scale

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.