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Finding the Fourth Proportional to 500.58, 746.79 and 477.36

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Solution

The fourth proportional to 500.58, 746.79 and 477.36 is: 712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 746.79 = 477.36 : x
  2. Step 2: Convert to fraction form
    500.58/746.79 = 477.36/x
  3. Step 3: Cross multiply
    500.58x = 746.79 × 477.36
  4. Step 4: Simplify right side
    500.58x = 356,485.88
  5. Step 5: Solve for x
    x = 356,485.88/500.58
  6. Step 6: Final answer
    x = 712.15

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1.5x scale

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.