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Finding the Fourth Proportional to 477.80, 715.74 and 315.08

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Solution

The fourth proportional to 477.80, 715.74 and 315.08 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 715.74 = 315.08 : x
  2. Step 2: Convert to fraction form
    477.80/715.74 = 315.08/x
  3. Step 3: Cross multiply
    477.80x = 715.74 × 315.08
  4. Step 4: Simplify right side
    477.80x = 225,515.36
  5. Step 5: Solve for x
    x = 225,515.36/477.80
  6. Step 6: Final answer
    x = 471.99

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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.