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Finding the Fourth Proportional to 1,535.61, 2,302 and 561.03

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Solution

The fourth proportional to 1,535.61, 2,302 and 561.03 is: 841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.61 : 2,302 = 561.03 : x
  2. Step 2: Convert to fraction form
    1,535.61/2,302 = 561.03/x
  3. Step 3: Cross multiply
    1,535.61x = 2,302 × 561.03
  4. Step 4: Simplify right side
    1,535.61x = 1,291,491.06
  5. Step 5: Solve for x
    x = 1,291,491.06/1,535.61
  6. Step 6: Final answer
    x = 841.03

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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.