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Finding the Fourth Proportional to 985.37, 1,475.47 and 830.91

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Solution

The fourth proportional to 985.37, 1,475.47 and 830.91 is: 1,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.37 : 1,475.47 = 830.91 : x
  2. Step 2: Convert to fraction form
    985.37/1,475.47 = 830.91/x
  3. Step 3: Cross multiply
    985.37x = 1,475.47 × 830.91
  4. Step 4: Simplify right side
    985.37x = 1,225,976.38
  5. Step 5: Solve for x
    x = 1,225,976.38/985.37
  6. Step 6: Final answer
    x = 1,244.19

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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.