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Finding the Fourth Proportional to 676.42, 1,009.45 and 603.52

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Solution

The fourth proportional to 676.42, 1,009.45 and 603.52 is: 900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.42 : 1,009.45 = 603.52 : x
  2. Step 2: Convert to fraction form
    676.42/1,009.45 = 603.52/x
  3. Step 3: Cross multiply
    676.42x = 1,009.45 × 603.52
  4. Step 4: Simplify right side
    676.42x = 609,223.26
  5. Step 5: Solve for x
    x = 609,223.26/676.42
  6. Step 6: Final answer
    x = 900.66

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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.