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Finding the Fourth Proportional to 788.60, 1,085.76 and 601.50

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Solution

The fourth proportional to 788.60, 1,085.76 and 601.50 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,085.76 = 601.50 : x
  2. Step 2: Convert to fraction form
    788.60/1,085.76 = 601.50/x
  3. Step 3: Cross multiply
    788.60x = 1,085.76 × 601.50
  4. Step 4: Simplify right side
    788.60x = 653,084.64
  5. Step 5: Solve for x
    x = 653,084.64/788.60
  6. Step 6: Final answer
    x = 828.16

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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.