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Finding the Fourth Proportional to 1,069.16, 1,475.58 and 649.58

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Solution

The fourth proportional to 1,069.16, 1,475.58 and 649.58 is: 896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.16 : 1,475.58 = 649.58 : x
  2. Step 2: Convert to fraction form
    1,069.16/1,475.58 = 649.58/x
  3. Step 3: Cross multiply
    1,069.16x = 1,475.58 × 649.58
  4. Step 4: Simplify right side
    1,069.16x = 958,499.88
  5. Step 5: Solve for x
    x = 958,499.88/1,069.16
  6. Step 6: Final answer
    x = 896.50

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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.