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Finding the Fourth Proportional to 919.73, 1,378.49 and 530.01

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Solution

The fourth proportional to 919.73, 1,378.49 and 530.01 is: 794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.73 : 1,378.49 = 530.01 : x
  2. Step 2: Convert to fraction form
    919.73/1,378.49 = 530.01/x
  3. Step 3: Cross multiply
    919.73x = 1,378.49 × 530.01
  4. Step 4: Simplify right side
    919.73x = 730,610.83
  5. Step 5: Solve for x
    x = 730,610.83/919.73
  6. Step 6: Final answer
    x = 794.38

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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.