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Finding the Fourth Proportional to 1,686.84, 2,530.16 and 646.80

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Solution

The fourth proportional to 1,686.84, 2,530.16 and 646.80 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.84 : 2,530.16 = 646.80 : x
  2. Step 2: Convert to fraction form
    1,686.84/2,530.16 = 646.80/x
  3. Step 3: Cross multiply
    1,686.84x = 2,530.16 × 646.80
  4. Step 4: Simplify right side
    1,686.84x = 1,636,507.49
  5. Step 5: Solve for x
    x = 1,636,507.49/1,686.84
  6. Step 6: Final answer
    x = 970.16

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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.