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Finding the Fourth Proportional to 954.42, 1,431.62 and 589.33

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Solution

The fourth proportional to 954.42, 1,431.62 and 589.33 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.42 : 1,431.62 = 589.33 : x
  2. Step 2: Convert to fraction form
    954.42/1,431.62 = 589.33/x
  3. Step 3: Cross multiply
    954.42x = 1,431.62 × 589.33
  4. Step 4: Simplify right side
    954.42x = 843,696.61
  5. Step 5: Solve for x
    x = 843,696.61/954.42
  6. Step 6: Final answer
    x = 883.99

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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.