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Finding the Fourth Proportional to 477.52, 715.02 and 260.44

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Solution

The fourth proportional to 477.52, 715.02 and 260.44 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 715.02 = 260.44 : x
  2. Step 2: Convert to fraction form
    477.52/715.02 = 260.44/x
  3. Step 3: Cross multiply
    477.52x = 715.02 × 260.44
  4. Step 4: Simplify right side
    477.52x = 186,219.81
  5. Step 5: Solve for x
    x = 186,219.81/477.52
  6. Step 6: Final answer
    x = 389.97

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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.