Home / 1,574.10-2,359.49-533.72

Finding the Fourth Proportional to 1,574.10, 2,359.49 and 533.72

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Solution

The fourth proportional to 1,574.10, 2,359.49 and 533.72 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.10 : 2,359.49 = 533.72 : x
  2. Step 2: Convert to fraction form
    1,574.10/2,359.49 = 533.72/x
  3. Step 3: Cross multiply
    1,574.10x = 2,359.49 × 533.72
  4. Step 4: Simplify right side
    1,574.10x = 1,259,310.23
  5. Step 5: Solve for x
    x = 1,259,310.23/1,574.10
  6. Step 6: Final answer
    x = 800.02

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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.