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Finding the Fourth Proportional to 417.58, 575.62 and 312.51

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Solution

The fourth proportional to 417.58, 575.62 and 312.51 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.58 : 575.62 = 312.51 : x
  2. Step 2: Convert to fraction form
    417.58/575.62 = 312.51/x
  3. Step 3: Cross multiply
    417.58x = 575.62 × 312.51
  4. Step 4: Simplify right side
    417.58x = 179,886.68
  5. Step 5: Solve for x
    x = 179,886.68/417.58
  6. Step 6: Final answer
    x = 430.78

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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.