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Finding the Fourth Proportional to 967.03, 1,440.35 and 946.78

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Solution

The fourth proportional to 967.03, 1,440.35 and 946.78 is: 1,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.03 : 1,440.35 = 946.78 : x
  2. Step 2: Convert to fraction form
    967.03/1,440.35 = 946.78/x
  3. Step 3: Cross multiply
    967.03x = 1,440.35 × 946.78
  4. Step 4: Simplify right side
    967.03x = 1,363,693.34
  5. Step 5: Solve for x
    x = 1,363,693.34/967.03
  6. Step 6: Final answer
    x = 1,410.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.