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Finding the Fourth Proportional to 895.55, 1,235.70 and 563.94

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Solution

The fourth proportional to 895.55, 1,235.70 and 563.94 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.55 : 1,235.70 = 563.94 : x
  2. Step 2: Convert to fraction form
    895.55/1,235.70 = 563.94/x
  3. Step 3: Cross multiply
    895.55x = 1,235.70 × 563.94
  4. Step 4: Simplify right side
    895.55x = 696,860.66
  5. Step 5: Solve for x
    x = 696,860.66/895.55
  6. Step 6: Final answer
    x = 778.14

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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.