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Finding the Fourth Proportional to 981.10, 1,471.18 and 570.35

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Solution

The fourth proportional to 981.10, 1,471.18 and 570.35 is: 855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.10 : 1,471.18 = 570.35 : x
  2. Step 2: Convert to fraction form
    981.10/1,471.18 = 570.35/x
  3. Step 3: Cross multiply
    981.10x = 1,471.18 × 570.35
  4. Step 4: Simplify right side
    981.10x = 839,087.51
  5. Step 5: Solve for x
    x = 839,087.51/981.10
  6. Step 6: Final answer
    x = 855.25

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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.