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Finding the Fourth Proportional to 1,685.53, 2,528.52 and 589.63

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Solution

The fourth proportional to 1,685.53, 2,528.52 and 589.63 is: 884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.53 : 2,528.52 = 589.63 : x
  2. Step 2: Convert to fraction form
    1,685.53/2,528.52 = 589.63/x
  3. Step 3: Cross multiply
    1,685.53x = 2,528.52 × 589.63
  4. Step 4: Simplify right side
    1,685.53x = 1,490,891.25
  5. Step 5: Solve for x
    x = 1,490,891.25/1,685.53
  6. Step 6: Final answer
    x = 884.52

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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.