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Finding the Fourth Proportional to 653.15, 901.64 and 417.42

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Solution

The fourth proportional to 653.15, 901.64 and 417.42 is: 576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.15 : 901.64 = 417.42 : x
  2. Step 2: Convert to fraction form
    653.15/901.64 = 417.42/x
  3. Step 3: Cross multiply
    653.15x = 901.64 × 417.42
  4. Step 4: Simplify right side
    653.15x = 376,360.48
  5. Step 5: Solve for x
    x = 376,360.48/653.15
  6. Step 6: Final answer
    x = 576.23

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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.