Home / 1,307.90-1,962.12-650.13

Finding the Fourth Proportional to 1,307.90, 1,962.12 and 650.13

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Solution

The fourth proportional to 1,307.90, 1,962.12 and 650.13 is: 975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.90 : 1,962.12 = 650.13 : x
  2. Step 2: Convert to fraction form
    1,307.90/1,962.12 = 650.13/x
  3. Step 3: Cross multiply
    1,307.90x = 1,962.12 × 650.13
  4. Step 4: Simplify right side
    1,307.90x = 1,275,633.08
  5. Step 5: Solve for x
    x = 1,275,633.08/1,307.90
  6. Step 6: Final answer
    x = 975.33

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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.