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Finding the Fourth Proportional to 889.86, 1,331.55 and 524.82

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Solution

The fourth proportional to 889.86, 1,331.55 and 524.82 is: 785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.86 : 1,331.55 = 524.82 : x
  2. Step 2: Convert to fraction form
    889.86/1,331.55 = 524.82/x
  3. Step 3: Cross multiply
    889.86x = 1,331.55 × 524.82
  4. Step 4: Simplify right side
    889.86x = 698,824.07
  5. Step 5: Solve for x
    x = 698,824.07/889.86
  6. Step 6: Final answer
    x = 785.32

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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.