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Finding the Fourth Proportional to 895.16, 1,235.36 and 563.46

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Solution

The fourth proportional to 895.16, 1,235.36 and 563.46 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.16 : 1,235.36 = 563.46 : x
  2. Step 2: Convert to fraction form
    895.16/1,235.36 = 563.46/x
  3. Step 3: Cross multiply
    895.16x = 1,235.36 × 563.46
  4. Step 4: Simplify right side
    895.16x = 696,075.95
  5. Step 5: Solve for x
    x = 696,075.95/895.16
  6. Step 6: Final answer
    x = 777.60

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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.