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Finding the Fourth Proportional to 544.86, 811.62 and 525.24

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Solution

The fourth proportional to 544.86, 811.62 and 525.24 is: 782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.86 : 811.62 = 525.24 : x
  2. Step 2: Convert to fraction form
    544.86/811.62 = 525.24/x
  3. Step 3: Cross multiply
    544.86x = 811.62 × 525.24
  4. Step 4: Simplify right side
    544.86x = 426,295.29
  5. Step 5: Solve for x
    x = 426,295.29/544.86
  6. Step 6: Final answer
    x = 782.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.