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Finding the Fourth Proportional to 954.26, 1,430.11 and 785.30

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Solution

The fourth proportional to 954.26, 1,430.11 and 785.30 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.26 : 1,430.11 = 785.30 : x
  2. Step 2: Convert to fraction form
    954.26/1,430.11 = 785.30/x
  3. Step 3: Cross multiply
    954.26x = 1,430.11 × 785.30
  4. Step 4: Simplify right side
    954.26x = 1,123,065.38
  5. Step 5: Solve for x
    x = 1,123,065.38/954.26
  6. Step 6: Final answer
    x = 1,176.90

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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.