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Finding the Fourth Proportional to 676, 1,007.28 and 603.32

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Solution

The fourth proportional to 676, 1,007.28 and 603.32 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 1,007.28 = 603.32 : x
  2. Step 2: Convert to fraction form
    676/1,007.28 = 603.32/x
  3. Step 3: Cross multiply
    676x = 1,007.28 × 603.32
  4. Step 4: Simplify right side
    676x = 607,712.17
  5. Step 5: Solve for x
    x = 607,712.17/676
  6. Step 6: Final answer
    x = 898.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.