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Finding the Fourth Proportional to 472.92, 705.12 and 432.23

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Solution

The fourth proportional to 472.92, 705.12 and 432.23 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 705.12 = 432.23 : x
  2. Step 2: Convert to fraction form
    472.92/705.12 = 432.23/x
  3. Step 3: Cross multiply
    472.92x = 705.12 × 432.23
  4. Step 4: Simplify right side
    472.92x = 304,770.49
  5. Step 5: Solve for x
    x = 304,770.49/472.92
  6. Step 6: Final answer
    x = 644.44

Related Problems

Find fourth proportional to 236.46, 352.56 and 216.11
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.