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Finding the Fourth Proportional to 1,685.84, 2,530.18 and 712.64

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Solution

The fourth proportional to 1,685.84, 2,530.18 and 712.64 is: 1,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.84 : 2,530.18 = 712.64 : x
  2. Step 2: Convert to fraction form
    1,685.84/2,530.18 = 712.64/x
  3. Step 3: Cross multiply
    1,685.84x = 2,530.18 × 712.64
  4. Step 4: Simplify right side
    1,685.84x = 1,803,107.48
  5. Step 5: Solve for x
    x = 1,803,107.48/1,685.84
  6. Step 6: Final answer
    x = 1,069.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.