Home / 1,310.83-1,966.35-433.07

Finding the Fourth Proportional to 1,310.83, 1,966.35 and 433.07

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Solution

The fourth proportional to 1,310.83, 1,966.35 and 433.07 is: 649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,966.35 = 433.07 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,966.35 = 433.07/x
  3. Step 3: Cross multiply
    1,310.83x = 1,966.35 × 433.07
  4. Step 4: Simplify right side
    1,310.83x = 851,557.36
  5. Step 5: Solve for x
    x = 851,557.36/1,310.83
  6. Step 6: Final answer
    x = 649.63

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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.