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Finding the Fourth Proportional to 476.40, 715.86 and 294.24

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Solution

The fourth proportional to 476.40, 715.86 and 294.24 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 715.86 = 294.24 : x
  2. Step 2: Convert to fraction form
    476.40/715.86 = 294.24/x
  3. Step 3: Cross multiply
    476.40x = 715.86 × 294.24
  4. Step 4: Simplify right side
    476.40x = 210,634.65
  5. Step 5: Solve for x
    x = 210,634.65/476.40
  6. Step 6: Final answer
    x = 442.14

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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.