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Finding the Fourth Proportional to 733.02, 1,011.06 and 511.89

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Solution

The fourth proportional to 733.02, 1,011.06 and 511.89 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,011.06 = 511.89 : x
  2. Step 2: Convert to fraction form
    733.02/1,011.06 = 511.89/x
  3. Step 3: Cross multiply
    733.02x = 1,011.06 × 511.89
  4. Step 4: Simplify right side
    733.02x = 517,551.50
  5. Step 5: Solve for x
    x = 517,551.50/733.02
  6. Step 6: Final answer
    x = 706.05

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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.