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Finding the Fourth Proportional to 954.32, 1,431.30 and 434.19

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Solution

The fourth proportional to 954.32, 1,431.30 and 434.19 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.32 : 1,431.30 = 434.19 : x
  2. Step 2: Convert to fraction form
    954.32/1,431.30 = 434.19/x
  3. Step 3: Cross multiply
    954.32x = 1,431.30 × 434.19
  4. Step 4: Simplify right side
    954.32x = 621,456.15
  5. Step 5: Solve for x
    x = 621,456.15/954.32
  6. Step 6: Final answer
    x = 651.21

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Double scale
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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.