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Finding the Fourth Proportional to 841.93, 1,263.20 and 294.19

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Solution

The fourth proportional to 841.93, 1,263.20 and 294.19 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.93 : 1,263.20 = 294.19 : x
  2. Step 2: Convert to fraction form
    841.93/1,263.20 = 294.19/x
  3. Step 3: Cross multiply
    841.93x = 1,263.20 × 294.19
  4. Step 4: Simplify right side
    841.93x = 371,623.97
  5. Step 5: Solve for x
    x = 371,623.97/841.93
  6. Step 6: Final answer
    x = 441.40

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1.5x scale

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.