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Finding the Fourth Proportional to 1,685.98, 2,527.37 and 589.63

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Solution

The fourth proportional to 1,685.98, 2,527.37 and 589.63 is: 883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.98 : 2,527.37 = 589.63 : x
  2. Step 2: Convert to fraction form
    1,685.98/2,527.37 = 589.63/x
  3. Step 3: Cross multiply
    1,685.98x = 2,527.37 × 589.63
  4. Step 4: Simplify right side
    1,685.98x = 1,490,213.17
  5. Step 5: Solve for x
    x = 1,490,213.17/1,685.98
  6. Step 6: Final answer
    x = 883.89

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1.5x scale

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.