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Finding the Fourth Proportional to 478.57, 660.42 and 313.06

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Solution

The fourth proportional to 478.57, 660.42 and 313.06 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.57 : 660.42 = 313.06 : x
  2. Step 2: Convert to fraction form
    478.57/660.42 = 313.06/x
  3. Step 3: Cross multiply
    478.57x = 660.42 × 313.06
  4. Step 4: Simplify right side
    478.57x = 206,746.22
  5. Step 5: Solve for x
    x = 206,746.22/478.57
  6. Step 6: Final answer
    x = 432.01

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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.