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Finding the Fourth Proportional to 1,657.31, 2,485.92 and 424.67

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Solution

The fourth proportional to 1,657.31, 2,485.92 and 424.67 is: 636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.31 : 2,485.92 = 424.67 : x
  2. Step 2: Convert to fraction form
    1,657.31/2,485.92 = 424.67/x
  3. Step 3: Cross multiply
    1,657.31x = 2,485.92 × 424.67
  4. Step 4: Simplify right side
    1,657.31x = 1,055,695.65
  5. Step 5: Solve for x
    x = 1,055,695.65/1,657.31
  6. Step 6: Final answer
    x = 636.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.