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Finding the Fourth Proportional to 1,018.86, 1,525.01 and 922.95

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Solution

The fourth proportional to 1,018.86, 1,525.01 and 922.95 is: 1,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.86 : 1,525.01 = 922.95 : x
  2. Step 2: Convert to fraction form
    1,018.86/1,525.01 = 922.95/x
  3. Step 3: Cross multiply
    1,018.86x = 1,525.01 × 922.95
  4. Step 4: Simplify right side
    1,018.86x = 1,407,507.98
  5. Step 5: Solve for x
    x = 1,407,507.98/1,018.86
  6. Step 6: Final answer
    x = 1,381.45

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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.