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Finding the Fourth Proportional to 1,066.40, 1,471.57 and 618.19

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Solution

The fourth proportional to 1,066.40, 1,471.57 and 618.19 is: 853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,471.57 = 618.19 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,471.57 = 618.19/x
  3. Step 3: Cross multiply
    1,066.40x = 1,471.57 × 618.19
  4. Step 4: Simplify right side
    1,066.40x = 909,704.63
  5. Step 5: Solve for x
    x = 909,704.63/1,066.40
  6. Step 6: Final answer
    x = 853.07

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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.