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Finding the Fourth Proportional to 476.36, 715.14 and 404.68

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Solution

The fourth proportional to 476.36, 715.14 and 404.68 is: 607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 715.14 = 404.68 : x
  2. Step 2: Convert to fraction form
    476.36/715.14 = 404.68/x
  3. Step 3: Cross multiply
    476.36x = 715.14 × 404.68
  4. Step 4: Simplify right side
    476.36x = 289,402.86
  5. Step 5: Solve for x
    x = 289,402.86/476.36
  6. Step 6: Final answer
    x = 607.53

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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.