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Finding the Fourth Proportional to 474.57, 715.37 and 433.56

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Solution

The fourth proportional to 474.57, 715.37 and 433.56 is: 653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.57 : 715.37 = 433.56 : x
  2. Step 2: Convert to fraction form
    474.57/715.37 = 433.56/x
  3. Step 3: Cross multiply
    474.57x = 715.37 × 433.56
  4. Step 4: Simplify right side
    474.57x = 310,155.82
  5. Step 5: Solve for x
    x = 310,155.82/474.57
  6. Step 6: Final answer
    x = 653.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.