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Finding the Fourth Proportional to 924.20, 1,386.30 and 770.30

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Solution

The fourth proportional to 924.20, 1,386.30 and 770.30 is: 1,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.20 : 1,386.30 = 770.30 : x
  2. Step 2: Convert to fraction form
    924.20/1,386.30 = 770.30/x
  3. Step 3: Cross multiply
    924.20x = 1,386.30 × 770.30
  4. Step 4: Simplify right side
    924.20x = 1,067,866.89
  5. Step 5: Solve for x
    x = 1,067,866.89/924.20
  6. Step 6: Final answer
    x = 1,155.45

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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.