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Finding the Fourth Proportional to 673.32, 1,009.98 and 429.60

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Solution

The fourth proportional to 673.32, 1,009.98 and 429.60 is: 644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.32 : 1,009.98 = 429.60 : x
  2. Step 2: Convert to fraction form
    673.32/1,009.98 = 429.60/x
  3. Step 3: Cross multiply
    673.32x = 1,009.98 × 429.60
  4. Step 4: Simplify right side
    673.32x = 433,887.41
  5. Step 5: Solve for x
    x = 433,887.41/673.32
  6. Step 6: Final answer
    x = 644.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.