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Finding the Fourth Proportional to 953.64, 1,314.36 and 688.23

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Solution

The fourth proportional to 953.64, 1,314.36 and 688.23 is: 948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.64 : 1,314.36 = 688.23 : x
  2. Step 2: Convert to fraction form
    953.64/1,314.36 = 688.23/x
  3. Step 3: Cross multiply
    953.64x = 1,314.36 × 688.23
  4. Step 4: Simplify right side
    953.64x = 904,581.98
  5. Step 5: Solve for x
    x = 904,581.98/953.64
  6. Step 6: Final answer
    x = 948.56

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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.