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Finding the Fourth Proportional to 772.90, 1,159.45 and 383.10

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Solution

The fourth proportional to 772.90, 1,159.45 and 383.10 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.90 : 1,159.45 = 383.10 : x
  2. Step 2: Convert to fraction form
    772.90/1,159.45 = 383.10/x
  3. Step 3: Cross multiply
    772.90x = 1,159.45 × 383.10
  4. Step 4: Simplify right side
    772.90x = 444,185.30
  5. Step 5: Solve for x
    x = 444,185.30/772.90
  6. Step 6: Final answer
    x = 574.70

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1.5x scale

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.