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Finding the Fourth Proportional to 504.14, 756.62 and 260.74

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Solution

The fourth proportional to 504.14, 756.62 and 260.74 is: 391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.14 : 756.62 = 260.74 : x
  2. Step 2: Convert to fraction form
    504.14/756.62 = 260.74/x
  3. Step 3: Cross multiply
    504.14x = 756.62 × 260.74
  4. Step 4: Simplify right side
    504.14x = 197,279.86
  5. Step 5: Solve for x
    x = 197,279.86/504.14
  6. Step 6: Final answer
    x = 391.32

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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.