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Finding the Fourth Proportional to 1,686.35, 2,530.31 and 646.01

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Solution

The fourth proportional to 1,686.35, 2,530.31 and 646.01 is: 969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.35 : 2,530.31 = 646.01 : x
  2. Step 2: Convert to fraction form
    1,686.35/2,530.31 = 646.01/x
  3. Step 3: Cross multiply
    1,686.35x = 2,530.31 × 646.01
  4. Step 4: Simplify right side
    1,686.35x = 1,634,605.56
  5. Step 5: Solve for x
    x = 1,634,605.56/1,686.35
  6. Step 6: Final answer
    x = 969.32

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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.