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Finding the Fourth Proportional to 895.17, 1,235.50 and 563.70

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Solution

The fourth proportional to 895.17, 1,235.50 and 563.70 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.17 : 1,235.50 = 563.70 : x
  2. Step 2: Convert to fraction form
    895.17/1,235.50 = 563.70/x
  3. Step 3: Cross multiply
    895.17x = 1,235.50 × 563.70
  4. Step 4: Simplify right side
    895.17x = 696,454.57
  5. Step 5: Solve for x
    x = 696,454.57/895.17
  6. Step 6: Final answer
    x = 778.01

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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.