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Finding the Fourth Proportional to 985.01, 1,357.83 and 810.05

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Solution

The fourth proportional to 985.01, 1,357.83 and 810.05 is: 1,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.01 : 1,357.83 = 810.05 : x
  2. Step 2: Convert to fraction form
    985.01/1,357.83 = 810.05/x
  3. Step 3: Cross multiply
    985.01x = 1,357.83 × 810.05
  4. Step 4: Simplify right side
    985.01x = 1,099,910.19
  5. Step 5: Solve for x
    x = 1,099,910.19/985.01
  6. Step 6: Final answer
    x = 1,116.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.