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Finding the Fourth Proportional to 788.54, 1,177.44 and 705.74

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Solution

The fourth proportional to 788.54, 1,177.44 and 705.74 is: 1,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,177.44 = 705.74 : x
  2. Step 2: Convert to fraction form
    788.54/1,177.44 = 705.74/x
  3. Step 3: Cross multiply
    788.54x = 1,177.44 × 705.74
  4. Step 4: Simplify right side
    788.54x = 830,962.98
  5. Step 5: Solve for x
    x = 830,962.98/788.54
  6. Step 6: Final answer
    x = 1,053.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.