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Finding the Fourth Proportional to 1,370.61, 1,904.20 and 1,354.21

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Solution

The fourth proportional to 1,370.61, 1,904.20 and 1,354.21 is: 1,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.61 : 1,904.20 = 1,354.21 : x
  2. Step 2: Convert to fraction form
    1,370.61/1,904.20 = 1,354.21/x
  3. Step 3: Cross multiply
    1,370.61x = 1,904.20 × 1,354.21
  4. Step 4: Simplify right side
    1,370.61x = 2,578,686.68
  5. Step 5: Solve for x
    x = 2,578,686.68/1,370.61
  6. Step 6: Final answer
    x = 1,881.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.