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Finding the Fourth Proportional to 1,728.66, 2,385.60 and 942.75

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Solution

The fourth proportional to 1,728.66, 2,385.60 and 942.75 is: 1,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.66 : 2,385.60 = 942.75 : x
  2. Step 2: Convert to fraction form
    1,728.66/2,385.60 = 942.75/x
  3. Step 3: Cross multiply
    1,728.66x = 2,385.60 × 942.75
  4. Step 4: Simplify right side
    1,728.66x = 2,249,024.40
  5. Step 5: Solve for x
    x = 2,249,024.40/1,728.66
  6. Step 6: Final answer
    x = 1,301.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.