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Finding the Fourth Proportional to 895.82, 1,235.02 and 772.78

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Solution

The fourth proportional to 895.82, 1,235.02 and 772.78 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.82 : 1,235.02 = 772.78 : x
  2. Step 2: Convert to fraction form
    895.82/1,235.02 = 772.78/x
  3. Step 3: Cross multiply
    895.82x = 1,235.02 × 772.78
  4. Step 4: Simplify right side
    895.82x = 954,398.76
  5. Step 5: Solve for x
    x = 954,398.76/895.82
  6. Step 6: Final answer
    x = 1,065.39

Related Problems

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Half scale
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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.