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Finding the Fourth Proportional to 894.86, 1,235.04 and 521.72

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Solution

The fourth proportional to 894.86, 1,235.04 and 521.72 is: 720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.86 : 1,235.04 = 521.72 : x
  2. Step 2: Convert to fraction form
    894.86/1,235.04 = 521.72/x
  3. Step 3: Cross multiply
    894.86x = 1,235.04 × 521.72
  4. Step 4: Simplify right side
    894.86x = 644,345.07
  5. Step 5: Solve for x
    x = 644,345.07/894.86
  6. Step 6: Final answer
    x = 720.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.