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Finding the Fourth Proportional to 477.65, 715.36 and 464.51

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Solution

The fourth proportional to 477.65, 715.36 and 464.51 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 715.36 = 464.51 : x
  2. Step 2: Convert to fraction form
    477.65/715.36 = 464.51/x
  3. Step 3: Cross multiply
    477.65x = 715.36 × 464.51
  4. Step 4: Simplify right side
    477.65x = 332,291.87
  5. Step 5: Solve for x
    x = 332,291.87/477.65
  6. Step 6: Final answer
    x = 695.68

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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.