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Finding the Fourth Proportional to 946, 1,410.77 and 841.12

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Solution

The fourth proportional to 946, 1,410.77 and 841.12 is: 1,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,410.77 = 841.12 : x
  2. Step 2: Convert to fraction form
    946/1,410.77 = 841.12/x
  3. Step 3: Cross multiply
    946x = 1,410.77 × 841.12
  4. Step 4: Simplify right side
    946x = 1,186,626.86
  5. Step 5: Solve for x
    x = 1,186,626.86/946
  6. Step 6: Final answer
    x = 1,254.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.