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Finding the Fourth Proportional to 1,681.70, 2,523.15 and 586.00

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Solution

The fourth proportional to 1,681.70, 2,523.15 and 586.00 is: 879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.70 : 2,523.15 = 586.00 : x
  2. Step 2: Convert to fraction form
    1,681.70/2,523.15 = 586.00/x
  3. Step 3: Cross multiply
    1,681.70x = 2,523.15 × 586.00
  4. Step 4: Simplify right side
    1,681.70x = 1,478,569.05
  5. Step 5: Solve for x
    x = 1,478,569.05/1,681.70
  6. Step 6: Final answer
    x = 879.21

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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.