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Finding the Fourth Proportional to 1,535.42, 2,303.82 and 561.30

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Solution

The fourth proportional to 1,535.42, 2,303.82 and 561.30 is: 842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.42 : 2,303.82 = 561.30 : x
  2. Step 2: Convert to fraction form
    1,535.42/2,303.82 = 561.30/x
  3. Step 3: Cross multiply
    1,535.42x = 2,303.82 × 561.30
  4. Step 4: Simplify right side
    1,535.42x = 1,293,134.17
  5. Step 5: Solve for x
    x = 1,293,134.17/1,535.42
  6. Step 6: Final answer
    x = 842.20

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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.