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Finding the Fourth Proportional to 1,603.81, 2,405.72 and 874.81

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Solution

The fourth proportional to 1,603.81, 2,405.72 and 874.81 is: 1,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.81 : 2,405.72 = 874.81 : x
  2. Step 2: Convert to fraction form
    1,603.81/2,405.72 = 874.81/x
  3. Step 3: Cross multiply
    1,603.81x = 2,405.72 × 874.81
  4. Step 4: Simplify right side
    1,603.81x = 2,104,547.91
  5. Step 5: Solve for x
    x = 2,104,547.91/1,603.81
  6. Step 6: Final answer
    x = 1,312.22

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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.