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Finding the Fourth Proportional to 1,762.06, 2,642.13 and 591.45

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Solution

The fourth proportional to 1,762.06, 2,642.13 and 591.45 is: 886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.06 : 2,642.13 = 591.45 : x
  2. Step 2: Convert to fraction form
    1,762.06/2,642.13 = 591.45/x
  3. Step 3: Cross multiply
    1,762.06x = 2,642.13 × 591.45
  4. Step 4: Simplify right side
    1,762.06x = 1,562,687.79
  5. Step 5: Solve for x
    x = 1,562,687.79/1,762.06
  6. Step 6: Final answer
    x = 886.85

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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.