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Finding the Fourth Proportional to 1,807.53, 2,711.36 and 574.98

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Solution

The fourth proportional to 1,807.53, 2,711.36 and 574.98 is: 862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.53 : 2,711.36 = 574.98 : x
  2. Step 2: Convert to fraction form
    1,807.53/2,711.36 = 574.98/x
  3. Step 3: Cross multiply
    1,807.53x = 2,711.36 × 574.98
  4. Step 4: Simplify right side
    1,807.53x = 1,558,977.77
  5. Step 5: Solve for x
    x = 1,558,977.77/1,807.53
  6. Step 6: Final answer
    x = 862.49

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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.