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Finding the Fourth Proportional to 1,685.37, 2,526.32 and 645.10

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Solution

The fourth proportional to 1,685.37, 2,526.32 and 645.10 is: 966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.37 : 2,526.32 = 645.10 : x
  2. Step 2: Convert to fraction form
    1,685.37/2,526.32 = 645.10/x
  3. Step 3: Cross multiply
    1,685.37x = 2,526.32 × 645.10
  4. Step 4: Simplify right side
    1,685.37x = 1,629,724.33
  5. Step 5: Solve for x
    x = 1,629,724.33/1,685.37
  6. Step 6: Final answer
    x = 966.98

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1.5x scale

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.