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Finding the Fourth Proportional to 1,454.51, 2,181.84 and 530.04

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Solution

The fourth proportional to 1,454.51, 2,181.84 and 530.04 is: 795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.51 : 2,181.84 = 530.04 : x
  2. Step 2: Convert to fraction form
    1,454.51/2,181.84 = 530.04/x
  3. Step 3: Cross multiply
    1,454.51x = 2,181.84 × 530.04
  4. Step 4: Simplify right side
    1,454.51x = 1,156,468.67
  5. Step 5: Solve for x
    x = 1,156,468.67/1,454.51
  6. Step 6: Final answer
    x = 795.09

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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.