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Finding the Fourth Proportional to 705.61, 1,056.93 and 567.91

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Solution

The fourth proportional to 705.61, 1,056.93 and 567.91 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.61 : 1,056.93 = 567.91 : x
  2. Step 2: Convert to fraction form
    705.61/1,056.93 = 567.91/x
  3. Step 3: Cross multiply
    705.61x = 1,056.93 × 567.91
  4. Step 4: Simplify right side
    705.61x = 600,241.12
  5. Step 5: Solve for x
    x = 600,241.12/705.61
  6. Step 6: Final answer
    x = 850.67

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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.