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Finding the Fourth Proportional to 1,056.55, 1,585 and 471.77

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Solution

The fourth proportional to 1,056.55, 1,585 and 471.77 is: 707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.55 : 1,585 = 471.77 : x
  2. Step 2: Convert to fraction form
    1,056.55/1,585 = 471.77/x
  3. Step 3: Cross multiply
    1,056.55x = 1,585 × 471.77
  4. Step 4: Simplify right side
    1,056.55x = 747,747.53
  5. Step 5: Solve for x
    x = 747,747.53/1,056.55
  6. Step 6: Final answer
    x = 707.73

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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.