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Finding the Fourth Proportional to 1,025.14, 1,415.26 and 689.53

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Solution

The fourth proportional to 1,025.14, 1,415.26 and 689.53 is: 951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.14 : 1,415.26 = 689.53 : x
  2. Step 2: Convert to fraction form
    1,025.14/1,415.26 = 689.53/x
  3. Step 3: Cross multiply
    1,025.14x = 1,415.26 × 689.53
  4. Step 4: Simplify right side
    1,025.14x = 975,864.23
  5. Step 5: Solve for x
    x = 975,864.23/1,025.14
  6. Step 6: Final answer
    x = 951.93

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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.