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Finding the Fourth Proportional to 1,686.85, 2,530.15 and 632.46

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Solution

The fourth proportional to 1,686.85, 2,530.15 and 632.46 is: 948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.85 : 2,530.15 = 632.46 : x
  2. Step 2: Convert to fraction form
    1,686.85/2,530.15 = 632.46/x
  3. Step 3: Cross multiply
    1,686.85x = 2,530.15 × 632.46
  4. Step 4: Simplify right side
    1,686.85x = 1,600,218.67
  5. Step 5: Solve for x
    x = 1,600,218.67/1,686.85
  6. Step 6: Final answer
    x = 948.64

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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.