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Finding the Fourth Proportional to 985.03, 1,476.60 and 693.20

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Solution

The fourth proportional to 985.03, 1,476.60 and 693.20 is: 1,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.03 : 1,476.60 = 693.20 : x
  2. Step 2: Convert to fraction form
    985.03/1,476.60 = 693.20/x
  3. Step 3: Cross multiply
    985.03x = 1,476.60 × 693.20
  4. Step 4: Simplify right side
    985.03x = 1,023,582.81
  5. Step 5: Solve for x
    x = 1,023,582.81/985.03
  6. Step 6: Final answer
    x = 1,039.14

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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.