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Finding the Fourth Proportional to 1,160.04, 1,740.02 and 429.60

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Solution

The fourth proportional to 1,160.04, 1,740.02 and 429.60 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.04 : 1,740.02 = 429.60 : x
  2. Step 2: Convert to fraction form
    1,160.04/1,740.02 = 429.60/x
  3. Step 3: Cross multiply
    1,160.04x = 1,740.02 × 429.60
  4. Step 4: Simplify right side
    1,160.04x = 747,512.59
  5. Step 5: Solve for x
    x = 747,512.59/1,160.04
  6. Step 6: Final answer
    x = 644.39

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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.