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Finding the Fourth Proportional to 788.40, 1,087.67 and 508.57

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Solution

The fourth proportional to 788.40, 1,087.67 and 508.57 is: 701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,087.67 = 508.57 : x
  2. Step 2: Convert to fraction form
    788.40/1,087.67 = 508.57/x
  3. Step 3: Cross multiply
    788.40x = 1,087.67 × 508.57
  4. Step 4: Simplify right side
    788.40x = 553,153.79
  5. Step 5: Solve for x
    x = 553,153.79/788.40
  6. Step 6: Final answer
    x = 701.62

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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.