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Finding the Fourth Proportional to 910.50, 1,256.91 and 561.39

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Solution

The fourth proportional to 910.50, 1,256.91 and 561.39 is: 774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,256.91 = 561.39 : x
  2. Step 2: Convert to fraction form
    910.50/1,256.91 = 561.39/x
  3. Step 3: Cross multiply
    910.50x = 1,256.91 × 561.39
  4. Step 4: Simplify right side
    910.50x = 705,616.70
  5. Step 5: Solve for x
    x = 705,616.70/910.50
  6. Step 6: Final answer
    x = 774.98

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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.