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Finding the Fourth Proportional to 503.01, 753.83 and 259.71

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Solution

The fourth proportional to 503.01, 753.83 and 259.71 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.01 : 753.83 = 259.71 : x
  2. Step 2: Convert to fraction form
    503.01/753.83 = 259.71/x
  3. Step 3: Cross multiply
    503.01x = 753.83 × 259.71
  4. Step 4: Simplify right side
    503.01x = 195,774.77
  5. Step 5: Solve for x
    x = 195,774.77/503.01
  6. Step 6: Final answer
    x = 389.21

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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.