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Finding the Fourth Proportional to 508.95, 766.19 and 463.59

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Solution

The fourth proportional to 508.95, 766.19 and 463.59 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 766.19 = 463.59 : x
  2. Step 2: Convert to fraction form
    508.95/766.19 = 463.59/x
  3. Step 3: Cross multiply
    508.95x = 766.19 × 463.59
  4. Step 4: Simplify right side
    508.95x = 355,199.18
  5. Step 5: Solve for x
    x = 355,199.18/508.95
  6. Step 6: Final answer
    x = 697.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.