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Finding the Fourth Proportional to 570.29, 851.49 and 467.32

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Solution

The fourth proportional to 570.29, 851.49 and 467.32 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 851.49 = 467.32 : x
  2. Step 2: Convert to fraction form
    570.29/851.49 = 467.32/x
  3. Step 3: Cross multiply
    570.29x = 851.49 × 467.32
  4. Step 4: Simplify right side
    570.29x = 397,916.46
  5. Step 5: Solve for x
    x = 397,916.46/570.29
  6. Step 6: Final answer
    x = 697.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.