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Finding the Fourth Proportional to 788.61, 1,088.62 and 493.82

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Solution

The fourth proportional to 788.61, 1,088.62 and 493.82 is: 681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.61 : 1,088.62 = 493.82 : x
  2. Step 2: Convert to fraction form
    788.61/1,088.62 = 493.82/x
  3. Step 3: Cross multiply
    788.61x = 1,088.62 × 493.82
  4. Step 4: Simplify right side
    788.61x = 537,575.65
  5. Step 5: Solve for x
    x = 537,575.65/788.61
  6. Step 6: Final answer
    x = 681.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.