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Finding the Fourth Proportional to 1,684.83, 2,526.58 and 644.48

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Solution

The fourth proportional to 1,684.83, 2,526.58 and 644.48 is: 966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.83 : 2,526.58 = 644.48 : x
  2. Step 2: Convert to fraction form
    1,684.83/2,526.58 = 644.48/x
  3. Step 3: Cross multiply
    1,684.83x = 2,526.58 × 644.48
  4. Step 4: Simplify right side
    1,684.83x = 1,628,337.40
  5. Step 5: Solve for x
    x = 1,628,337.40/1,684.83
  6. Step 6: Final answer
    x = 966.47

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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.