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Finding the Fourth Proportional to 573.55, 860.46 and 456.86

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Solution

The fourth proportional to 573.55, 860.46 and 456.86 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.55 : 860.46 = 456.86 : x
  2. Step 2: Convert to fraction form
    573.55/860.46 = 456.86/x
  3. Step 3: Cross multiply
    573.55x = 860.46 × 456.86
  4. Step 4: Simplify right side
    573.55x = 393,112.76
  5. Step 5: Solve for x
    x = 393,112.76/573.55
  6. Step 6: Final answer
    x = 685.40

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1.5x scale

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.