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Finding the Fourth Proportional to 811.58, 1,211.47 and 751.50

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Solution

The fourth proportional to 811.58, 1,211.47 and 751.50 is: 1,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,211.47 = 751.50 : x
  2. Step 2: Convert to fraction form
    811.58/1,211.47 = 751.50/x
  3. Step 3: Cross multiply
    811.58x = 1,211.47 × 751.50
  4. Step 4: Simplify right side
    811.58x = 910,417.83
  5. Step 5: Solve for x
    x = 910,417.83/811.58
  6. Step 6: Final answer
    x = 1,121.79

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1.5x scale

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.