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Finding the Fourth Proportional to 477.65, 659.07 and 312.14

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Solution

The fourth proportional to 477.65, 659.07 and 312.14 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 659.07 = 312.14 : x
  2. Step 2: Convert to fraction form
    477.65/659.07 = 312.14/x
  3. Step 3: Cross multiply
    477.65x = 659.07 × 312.14
  4. Step 4: Simplify right side
    477.65x = 205,718.81
  5. Step 5: Solve for x
    x = 205,718.81/477.65
  6. Step 6: Final answer
    x = 430.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.