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Finding the Fourth Proportional to 1,686.62, 2,529.83 and 647.12

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Solution

The fourth proportional to 1,686.62, 2,529.83 and 647.12 is: 970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.62 : 2,529.83 = 647.12 : x
  2. Step 2: Convert to fraction form
    1,686.62/2,529.83 = 647.12/x
  3. Step 3: Cross multiply
    1,686.62x = 2,529.83 × 647.12
  4. Step 4: Simplify right side
    1,686.62x = 1,637,111.53
  5. Step 5: Solve for x
    x = 1,637,111.53/1,686.62
  6. Step 6: Final answer
    x = 970.64

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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.