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Finding the Fourth Proportional to 910.98, 1,257.30 and 561.69

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Solution

The fourth proportional to 910.98, 1,257.30 and 561.69 is: 775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.98 : 1,257.30 = 561.69 : x
  2. Step 2: Convert to fraction form
    910.98/1,257.30 = 561.69/x
  3. Step 3: Cross multiply
    910.98x = 1,257.30 × 561.69
  4. Step 4: Simplify right side
    910.98x = 706,212.84
  5. Step 5: Solve for x
    x = 706,212.84/910.98
  6. Step 6: Final answer
    x = 775.22

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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.