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Finding the Fourth Proportional to 508.94, 758.77 and 477.96

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Solution

The fourth proportional to 508.94, 758.77 and 477.96 is: 712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.94 : 758.77 = 477.96 : x
  2. Step 2: Convert to fraction form
    508.94/758.77 = 477.96/x
  3. Step 3: Cross multiply
    508.94x = 758.77 × 477.96
  4. Step 4: Simplify right side
    508.94x = 362,661.71
  5. Step 5: Solve for x
    x = 362,661.71/508.94
  6. Step 6: Final answer
    x = 712.58

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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.