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Finding the Fourth Proportional to 705.18, 972.22 and 578.68

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Solution

The fourth proportional to 705.18, 972.22 and 578.68 is: 797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.18 : 972.22 = 578.68 : x
  2. Step 2: Convert to fraction form
    705.18/972.22 = 578.68/x
  3. Step 3: Cross multiply
    705.18x = 972.22 × 578.68
  4. Step 4: Simplify right side
    705.18x = 562,601.38
  5. Step 5: Solve for x
    x = 562,601.38/705.18
  6. Step 6: Final answer
    x = 797.81

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Half scale
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Double scale
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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.