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Finding the Fourth Proportional to 611.49, 912.77 and 525.38

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Solution

The fourth proportional to 611.49, 912.77 and 525.38 is: 784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 912.77 = 525.38 : x
  2. Step 2: Convert to fraction form
    611.49/912.77 = 525.38/x
  3. Step 3: Cross multiply
    611.49x = 912.77 × 525.38
  4. Step 4: Simplify right side
    611.49x = 479,549.54
  5. Step 5: Solve for x
    x = 479,549.54/611.49
  6. Step 6: Final answer
    x = 784.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.