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Finding the Fourth Proportional to 954.51, 1,431.05 and 491.67

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Solution

The fourth proportional to 954.51, 1,431.05 and 491.67 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.51 : 1,431.05 = 491.67 : x
  2. Step 2: Convert to fraction form
    954.51/1,431.05 = 491.67/x
  3. Step 3: Cross multiply
    954.51x = 1,431.05 × 491.67
  4. Step 4: Simplify right side
    954.51x = 703,601.90
  5. Step 5: Solve for x
    x = 703,601.90/954.51
  6. Step 6: Final answer
    x = 737.13

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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.