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Finding the Fourth Proportional to 894.34, 1,341.51 and 508.78

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Solution

The fourth proportional to 894.34, 1,341.51 and 508.78 is: 763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.34 : 1,341.51 = 508.78 : x
  2. Step 2: Convert to fraction form
    894.34/1,341.51 = 508.78/x
  3. Step 3: Cross multiply
    894.34x = 1,341.51 × 508.78
  4. Step 4: Simplify right side
    894.34x = 682,536.09
  5. Step 5: Solve for x
    x = 682,536.09/894.34
  6. Step 6: Final answer
    x = 763.17

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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.