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Finding the Fourth Proportional to 514.95, 775.23 and 469.59

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Solution

The fourth proportional to 514.95, 775.23 and 469.59 is: 706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.95 : 775.23 = 469.59 : x
  2. Step 2: Convert to fraction form
    514.95/775.23 = 469.59/x
  3. Step 3: Cross multiply
    514.95x = 775.23 × 469.59
  4. Step 4: Simplify right side
    514.95x = 364,040.26
  5. Step 5: Solve for x
    x = 364,040.26/514.95
  6. Step 6: Final answer
    x = 706.94

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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.