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Finding the Fourth Proportional to 894.32, 1,341.40 and 309.30

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Solution

The fourth proportional to 894.32, 1,341.40 and 309.30 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.32 : 1,341.40 = 309.30 : x
  2. Step 2: Convert to fraction form
    894.32/1,341.40 = 309.30/x
  3. Step 3: Cross multiply
    894.32x = 1,341.40 × 309.30
  4. Step 4: Simplify right side
    894.32x = 414,895.02
  5. Step 5: Solve for x
    x = 414,895.02/894.32
  6. Step 6: Final answer
    x = 463.92

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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.