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Finding the Fourth Proportional to 919.95, 1,269.53 and 526.98

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Solution

The fourth proportional to 919.95, 1,269.53 and 526.98 is: 727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.95 : 1,269.53 = 526.98 : x
  2. Step 2: Convert to fraction form
    919.95/1,269.53 = 526.98/x
  3. Step 3: Cross multiply
    919.95x = 1,269.53 × 526.98
  4. Step 4: Simplify right side
    919.95x = 669,007.94
  5. Step 5: Solve for x
    x = 669,007.94/919.95
  6. Step 6: Final answer
    x = 727.22

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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.