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Finding the Fourth Proportional to 417.30, 575.54 and 389.36

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Solution

The fourth proportional to 417.30, 575.54 and 389.36 is: 537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 575.54 = 389.36 : x
  2. Step 2: Convert to fraction form
    417.30/575.54 = 389.36/x
  3. Step 3: Cross multiply
    417.30x = 575.54 × 389.36
  4. Step 4: Simplify right side
    417.30x = 224,089.38
  5. Step 5: Solve for x
    x = 224,089.38/417.30
  6. Step 6: Final answer
    x = 537.00

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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.