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Finding the Fourth Proportional to 1,784.10, 2,677.04 and 860.45

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Solution

The fourth proportional to 1,784.10, 2,677.04 and 860.45 is: 1,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.10 : 2,677.04 = 860.45 : x
  2. Step 2: Convert to fraction form
    1,784.10/2,677.04 = 860.45/x
  3. Step 3: Cross multiply
    1,784.10x = 2,677.04 × 860.45
  4. Step 4: Simplify right side
    1,784.10x = 2,303,444.61
  5. Step 5: Solve for x
    x = 2,303,444.61/1,784.10
  6. Step 6: Final answer
    x = 1,291.09

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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.