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Finding the Fourth Proportional to 941.64, 1,410.02 and 650.04

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Solution

The fourth proportional to 941.64, 1,410.02 and 650.04 is: 973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.64 : 1,410.02 = 650.04 : x
  2. Step 2: Convert to fraction form
    941.64/1,410.02 = 650.04/x
  3. Step 3: Cross multiply
    941.64x = 1,410.02 × 650.04
  4. Step 4: Simplify right side
    941.64x = 916,569.40
  5. Step 5: Solve for x
    x = 916,569.40/941.64
  6. Step 6: Final answer
    x = 973.38

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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.