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Finding the Fourth Proportional to 1,686.50, 2,529.36 and 646.14

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Solution

The fourth proportional to 1,686.50, 2,529.36 and 646.14 is: 969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.50 : 2,529.36 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,686.50/2,529.36 = 646.14/x
  3. Step 3: Cross multiply
    1,686.50x = 2,529.36 × 646.14
  4. Step 4: Simplify right side
    1,686.50x = 1,634,320.67
  5. Step 5: Solve for x
    x = 1,634,320.67/1,686.50
  6. Step 6: Final answer
    x = 969.06

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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.