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Finding the Fourth Proportional to 1,018.46, 1,527 and 555.86

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Solution

The fourth proportional to 1,018.46, 1,527 and 555.86 is: 833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.46 : 1,527 = 555.86 : x
  2. Step 2: Convert to fraction form
    1,018.46/1,527 = 555.86/x
  3. Step 3: Cross multiply
    1,018.46x = 1,527 × 555.86
  4. Step 4: Simplify right side
    1,018.46x = 848,798.22
  5. Step 5: Solve for x
    x = 848,798.22/1,018.46
  6. Step 6: Final answer
    x = 833.41

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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.