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Finding the Fourth Proportional to 1,684.68, 2,527.38 and 530.42

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Solution

The fourth proportional to 1,684.68, 2,527.38 and 530.42 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.68 : 2,527.38 = 530.42 : x
  2. Step 2: Convert to fraction form
    1,684.68/2,527.38 = 530.42/x
  3. Step 3: Cross multiply
    1,684.68x = 2,527.38 × 530.42
  4. Step 4: Simplify right side
    1,684.68x = 1,340,572.90
  5. Step 5: Solve for x
    x = 1,340,572.90/1,684.68
  6. Step 6: Final answer
    x = 795.74

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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.