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Finding the Fourth Proportional to 941.60, 1,412.40 and 429.60

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Solution

The fourth proportional to 941.60, 1,412.40 and 429.60 is: 644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.60 : 1,412.40 = 429.60 : x
  2. Step 2: Convert to fraction form
    941.60/1,412.40 = 429.60/x
  3. Step 3: Cross multiply
    941.60x = 1,412.40 × 429.60
  4. Step 4: Simplify right side
    941.60x = 606,767.04
  5. Step 5: Solve for x
    x = 606,767.04/941.60
  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.