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Finding the Fourth Proportional to 707.00, 1,054.52 and 666.34

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Solution

The fourth proportional to 707.00, 1,054.52 and 666.34 is: 993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.00 : 1,054.52 = 666.34 : x
  2. Step 2: Convert to fraction form
    707.00/1,054.52 = 666.34/x
  3. Step 3: Cross multiply
    707.00x = 1,054.52 × 666.34
  4. Step 4: Simplify right side
    707.00x = 702,662.89
  5. Step 5: Solve for x
    x = 702,662.89/707.00
  6. Step 6: Final answer
    x = 993.87

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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.