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Finding the Fourth Proportional to 945.88, 1,303.50 and 788.20

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Solution

The fourth proportional to 945.88, 1,303.50 and 788.20 is: 1,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,303.50 = 788.20 : x
  2. Step 2: Convert to fraction form
    945.88/1,303.50 = 788.20/x
  3. Step 3: Cross multiply
    945.88x = 1,303.50 × 788.20
  4. Step 4: Simplify right side
    945.88x = 1,027,418.70
  5. Step 5: Solve for x
    x = 1,027,418.70/945.88
  6. Step 6: Final answer
    x = 1,086.20

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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.