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Finding the Fourth Proportional to 985.58, 1,474.26 and 693.06

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Solution

The fourth proportional to 985.58, 1,474.26 and 693.06 is: 1,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.58 : 1,474.26 = 693.06 : x
  2. Step 2: Convert to fraction form
    985.58/1,474.26 = 693.06/x
  3. Step 3: Cross multiply
    985.58x = 1,474.26 × 693.06
  4. Step 4: Simplify right side
    985.58x = 1,021,750.64
  5. Step 5: Solve for x
    x = 1,021,750.64/985.58
  6. Step 6: Final answer
    x = 1,036.70

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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.