Home / 1,731.66-2,597.47-433.13

Finding the Fourth Proportional to 1,731.66, 2,597.47 and 433.13

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Solution

The fourth proportional to 1,731.66, 2,597.47 and 433.13 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.66 : 2,597.47 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,731.66/2,597.47 = 433.13/x
  3. Step 3: Cross multiply
    1,731.66x = 2,597.47 × 433.13
  4. Step 4: Simplify right side
    1,731.66x = 1,125,030.55
  5. Step 5: Solve for x
    x = 1,125,030.55/1,731.66
  6. Step 6: Final answer
    x = 649.68

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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.