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Finding the Fourth Proportional to 534.86, 737.80 and 313.77

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Solution

The fourth proportional to 534.86, 737.80 and 313.77 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 737.80 = 313.77 : x
  2. Step 2: Convert to fraction form
    534.86/737.80 = 313.77/x
  3. Step 3: Cross multiply
    534.86x = 737.80 × 313.77
  4. Step 4: Simplify right side
    534.86x = 231,499.51
  5. Step 5: Solve for x
    x = 231,499.51/534.86
  6. Step 6: Final answer
    x = 432.82

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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.