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Finding the Fourth Proportional to 1,370.40, 1,890.87 and 810.89

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Solution

The fourth proportional to 1,370.40, 1,890.87 and 810.89 is: 1,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.40 : 1,890.87 = 810.89 : x
  2. Step 2: Convert to fraction form
    1,370.40/1,890.87 = 810.89/x
  3. Step 3: Cross multiply
    1,370.40x = 1,890.87 × 810.89
  4. Step 4: Simplify right side
    1,370.40x = 1,533,278.12
  5. Step 5: Solve for x
    x = 1,533,278.12/1,370.40
  6. Step 6: Final answer
    x = 1,118.85

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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.