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Finding the Fourth Proportional to 789.50, 1,089.18 and 474.77

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Solution

The fourth proportional to 789.50, 1,089.18 and 474.77 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.50 : 1,089.18 = 474.77 : x
  2. Step 2: Convert to fraction form
    789.50/1,089.18 = 474.77/x
  3. Step 3: Cross multiply
    789.50x = 1,089.18 × 474.77
  4. Step 4: Simplify right side
    789.50x = 517,106.58
  5. Step 5: Solve for x
    x = 517,106.58/789.50
  6. Step 6: Final answer
    x = 654.98

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Double scale
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1.5x scale

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.