Home / 1,309.02-1,964.16-577.72

Finding the Fourth Proportional to 1,309.02, 1,964.16 and 577.72

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Solution

The fourth proportional to 1,309.02, 1,964.16 and 577.72 is: 866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.02 : 1,964.16 = 577.72 : x
  2. Step 2: Convert to fraction form
    1,309.02/1,964.16 = 577.72/x
  3. Step 3: Cross multiply
    1,309.02x = 1,964.16 × 577.72
  4. Step 4: Simplify right side
    1,309.02x = 1,134,734.52
  5. Step 5: Solve for x
    x = 1,134,734.52/1,309.02
  6. Step 6: Final answer
    x = 866.86

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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.