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Finding the Fourth Proportional to 1,688.02, 2,530.80 and 854.54

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Solution

The fourth proportional to 1,688.02, 2,530.80 and 854.54 is: 1,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.02 : 2,530.80 = 854.54 : x
  2. Step 2: Convert to fraction form
    1,688.02/2,530.80 = 854.54/x
  3. Step 3: Cross multiply
    1,688.02x = 2,530.80 × 854.54
  4. Step 4: Simplify right side
    1,688.02x = 2,162,669.83
  5. Step 5: Solve for x
    x = 2,162,669.83/1,688.02
  6. Step 6: Final answer
    x = 1,281.19

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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.