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Finding the Fourth Proportional to 928.50, 1,281.53 and 555.56

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Solution

The fourth proportional to 928.50, 1,281.53 and 555.56 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.50 : 1,281.53 = 555.56 : x
  2. Step 2: Convert to fraction form
    928.50/1,281.53 = 555.56/x
  3. Step 3: Cross multiply
    928.50x = 1,281.53 × 555.56
  4. Step 4: Simplify right side
    928.50x = 711,970.01
  5. Step 5: Solve for x
    x = 711,970.01/928.50
  6. Step 6: Final answer
    x = 766.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.