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Finding the Fourth Proportional to 1,710.37, 2,565.90 and 540.55

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Solution

The fourth proportional to 1,710.37, 2,565.90 and 540.55 is: 810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.37 : 2,565.90 = 540.55 : x
  2. Step 2: Convert to fraction form
    1,710.37/2,565.90 = 540.55/x
  3. Step 3: Cross multiply
    1,710.37x = 2,565.90 × 540.55
  4. Step 4: Simplify right side
    1,710.37x = 1,386,997.25
  5. Step 5: Solve for x
    x = 1,386,997.25/1,710.37
  6. Step 6: Final answer
    x = 810.93

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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.