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Finding the Fourth Proportional to 535.77, 739.47 and 314.77

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Solution

The fourth proportional to 535.77, 739.47 and 314.77 is: 434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.77 : 739.47 = 314.77 : x
  2. Step 2: Convert to fraction form
    535.77/739.47 = 314.77/x
  3. Step 3: Cross multiply
    535.77x = 739.47 × 314.77
  4. Step 4: Simplify right side
    535.77x = 232,762.97
  5. Step 5: Solve for x
    x = 232,762.97/535.77
  6. Step 6: Final answer
    x = 434.45

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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.