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Finding the Fourth Proportional to 1,710.64, 2,566.50 and 540.82

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Solution

The fourth proportional to 1,710.64, 2,566.50 and 540.82 is: 811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.64 : 2,566.50 = 540.82 : x
  2. Step 2: Convert to fraction form
    1,710.64/2,566.50 = 540.82/x
  3. Step 3: Cross multiply
    1,710.64x = 2,566.50 × 540.82
  4. Step 4: Simplify right side
    1,710.64x = 1,388,014.53
  5. Step 5: Solve for x
    x = 1,388,014.53/1,710.64
  6. Step 6: Final answer
    x = 811.40

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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.