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Finding the Fourth Proportional to 417.94, 570.92 and 415.24

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Solution

The fourth proportional to 417.94, 570.92 and 415.24 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 570.92 = 415.24 : x
  2. Step 2: Convert to fraction form
    417.94/570.92 = 415.24/x
  3. Step 3: Cross multiply
    417.94x = 570.92 × 415.24
  4. Step 4: Simplify right side
    417.94x = 237,068.82
  5. Step 5: Solve for x
    x = 237,068.82/417.94
  6. Step 6: Final answer
    x = 567.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.