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Finding the Fourth Proportional to 1,370.61, 1,892.31 and 846.95

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Solution

The fourth proportional to 1,370.61, 1,892.31 and 846.95 is: 1,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.61 : 1,892.31 = 846.95 : x
  2. Step 2: Convert to fraction form
    1,370.61/1,892.31 = 846.95/x
  3. Step 3: Cross multiply
    1,370.61x = 1,892.31 × 846.95
  4. Step 4: Simplify right side
    1,370.61x = 1,602,682.49
  5. Step 5: Solve for x
    x = 1,602,682.49/1,370.61
  6. Step 6: Final answer
    x = 1,169.32

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1.5x scale

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.