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Finding the Fourth Proportional to 894.04, 1,340.10 and 509.40

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Solution

The fourth proportional to 894.04, 1,340.10 and 509.40 is: 763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.04 : 1,340.10 = 509.40 : x
  2. Step 2: Convert to fraction form
    894.04/1,340.10 = 509.40/x
  3. Step 3: Cross multiply
    894.04x = 1,340.10 × 509.40
  4. Step 4: Simplify right side
    894.04x = 682,646.94
  5. Step 5: Solve for x
    x = 682,646.94/894.04
  6. Step 6: Final answer
    x = 763.55

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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.