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Finding the Fourth Proportional to 1,686.55, 2,530.10 and 646.51

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Solution

The fourth proportional to 1,686.55, 2,530.10 and 646.51 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.55 : 2,530.10 = 646.51 : x
  2. Step 2: Convert to fraction form
    1,686.55/2,530.10 = 646.51/x
  3. Step 3: Cross multiply
    1,686.55x = 2,530.10 × 646.51
  4. Step 4: Simplify right side
    1,686.55x = 1,635,734.95
  5. Step 5: Solve for x
    x = 1,635,734.95/1,686.55
  6. Step 6: Final answer
    x = 969.87

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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.