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Finding the Fourth Proportional to 894.67, 1,341.47 and 400.99

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Solution

The fourth proportional to 894.67, 1,341.47 and 400.99 is: 601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.67 : 1,341.47 = 400.99 : x
  2. Step 2: Convert to fraction form
    894.67/1,341.47 = 400.99/x
  3. Step 3: Cross multiply
    894.67x = 1,341.47 × 400.99
  4. Step 4: Simplify right side
    894.67x = 537,907.34
  5. Step 5: Solve for x
    x = 537,907.34/894.67
  6. Step 6: Final answer
    x = 601.24

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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.