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Finding the Fourth Proportional to 1,050.84, 1,575.10 and 434.21

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Solution

The fourth proportional to 1,050.84, 1,575.10 and 434.21 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.84 : 1,575.10 = 434.21 : x
  2. Step 2: Convert to fraction form
    1,050.84/1,575.10 = 434.21/x
  3. Step 3: Cross multiply
    1,050.84x = 1,575.10 × 434.21
  4. Step 4: Simplify right side
    1,050.84x = 683,924.17
  5. Step 5: Solve for x
    x = 683,924.17/1,050.84
  6. Step 6: Final answer
    x = 650.84

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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.