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Finding the Fourth Proportional to 1,925.79, 2,888.88 and 693.69

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Solution

The fourth proportional to 1,925.79, 2,888.88 and 693.69 is: 1,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.79 : 2,888.88 = 693.69 : x
  2. Step 2: Convert to fraction form
    1,925.79/2,888.88 = 693.69/x
  3. Step 3: Cross multiply
    1,925.79x = 2,888.88 × 693.69
  4. Step 4: Simplify right side
    1,925.79x = 2,003,987.17
  5. Step 5: Solve for x
    x = 2,003,987.17/1,925.79
  6. Step 6: Final answer
    x = 1,040.61

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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.