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Finding the Fourth Proportional to 602.25, 901.86 and 511.35

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Solution

The fourth proportional to 602.25, 901.86 and 511.35 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 901.86 = 511.35 : x
  2. Step 2: Convert to fraction form
    602.25/901.86 = 511.35/x
  3. Step 3: Cross multiply
    602.25x = 901.86 × 511.35
  4. Step 4: Simplify right side
    602.25x = 461,166.11
  5. Step 5: Solve for x
    x = 461,166.11/602.25
  6. Step 6: Final answer
    x = 765.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.