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Finding the Fourth Proportional to 1,354.95, 2,030.27 and 867.60

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Solution

The fourth proportional to 1,354.95, 2,030.27 and 867.60 is: 1,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.95 : 2,030.27 = 867.60 : x
  2. Step 2: Convert to fraction form
    1,354.95/2,030.27 = 867.60/x
  3. Step 3: Cross multiply
    1,354.95x = 2,030.27 × 867.60
  4. Step 4: Simplify right side
    1,354.95x = 1,761,457.91
  5. Step 5: Solve for x
    x = 1,761,457.91/1,354.95
  6. Step 6: Final answer
    x = 1,300.02

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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.