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Finding the Fourth Proportional to 1,535.68, 2,307.66 and 805.78

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Solution

The fourth proportional to 1,535.68, 2,307.66 and 805.78 is: 1,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.68 : 2,307.66 = 805.78 : x
  2. Step 2: Convert to fraction form
    1,535.68/2,307.66 = 805.78/x
  3. Step 3: Cross multiply
    1,535.68x = 2,307.66 × 805.78
  4. Step 4: Simplify right side
    1,535.68x = 1,859,466.27
  5. Step 5: Solve for x
    x = 1,859,466.27/1,535.68
  6. Step 6: Final answer
    x = 1,210.84

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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.