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Finding the Fourth Proportional to 561.25, 776.15 and 535.47

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Solution

The fourth proportional to 561.25, 776.15 and 535.47 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.25 : 776.15 = 535.47 : x
  2. Step 2: Convert to fraction form
    561.25/776.15 = 535.47/x
  3. Step 3: Cross multiply
    561.25x = 776.15 × 535.47
  4. Step 4: Simplify right side
    561.25x = 415,605.04
  5. Step 5: Solve for x
    x = 415,605.04/561.25
  6. Step 6: Final answer
    x = 740.50

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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.