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Finding the Fourth Proportional to 712.01, 981.90 and 472.31

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Solution

The fourth proportional to 712.01, 981.90 and 472.31 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.01 : 981.90 = 472.31 : x
  2. Step 2: Convert to fraction form
    712.01/981.90 = 472.31/x
  3. Step 3: Cross multiply
    712.01x = 981.90 × 472.31
  4. Step 4: Simplify right side
    712.01x = 463,761.19
  5. Step 5: Solve for x
    x = 463,761.19/712.01
  6. Step 6: Final answer
    x = 651.34

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Half scale
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.