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Finding the Fourth Proportional to 651.10, 975.17 and 503.81

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Solution

The fourth proportional to 651.10, 975.17 and 503.81 is: 754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.10 : 975.17 = 503.81 : x
  2. Step 2: Convert to fraction form
    651.10/975.17 = 503.81/x
  3. Step 3: Cross multiply
    651.10x = 975.17 × 503.81
  4. Step 4: Simplify right side
    651.10x = 491,300.40
  5. Step 5: Solve for x
    x = 491,300.40/651.10
  6. Step 6: Final answer
    x = 754.58

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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.