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Finding the Fourth Proportional to 1,689.02, 2,533.51 and 866.84

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Solution

The fourth proportional to 1,689.02, 2,533.51 and 866.84 is: 1,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.02 : 2,533.51 = 866.84 : x
  2. Step 2: Convert to fraction form
    1,689.02/2,533.51 = 866.84/x
  3. Step 3: Cross multiply
    1,689.02x = 2,533.51 × 866.84
  4. Step 4: Simplify right side
    1,689.02x = 2,196,143.47
  5. Step 5: Solve for x
    x = 2,196,143.47/1,689.02
  6. Step 6: Final answer
    x = 1,300.25

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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.