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Finding the Fourth Proportional to 1,307.48, 1,959.81 and 813.89

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Solution

The fourth proportional to 1,307.48, 1,959.81 and 813.89 is: 1,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.48 : 1,959.81 = 813.89 : x
  2. Step 2: Convert to fraction form
    1,307.48/1,959.81 = 813.89/x
  3. Step 3: Cross multiply
    1,307.48x = 1,959.81 × 813.89
  4. Step 4: Simplify right side
    1,307.48x = 1,595,069.76
  5. Step 5: Solve for x
    x = 1,595,069.76/1,307.48
  6. Step 6: Final answer
    x = 1,219.96

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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.