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Finding the Fourth Proportional to 976.61, 1,465.27 and 428.95

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Solution

The fourth proportional to 976.61, 1,465.27 and 428.95 is: 643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.61 : 1,465.27 = 428.95 : x
  2. Step 2: Convert to fraction form
    976.61/1,465.27 = 428.95/x
  3. Step 3: Cross multiply
    976.61x = 1,465.27 × 428.95
  4. Step 4: Simplify right side
    976.61x = 628,522.83
  5. Step 5: Solve for x
    x = 628,522.83/976.61
  6. Step 6: Final answer
    x = 643.58

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Why These Related Problems?

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