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Finding the Fourth Proportional to 707.01, 975.16 and 540.93

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Solution

The fourth proportional to 707.01, 975.16 and 540.93 is: 746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.01 : 975.16 = 540.93 : x
  2. Step 2: Convert to fraction form
    707.01/975.16 = 540.93/x
  3. Step 3: Cross multiply
    707.01x = 975.16 × 540.93
  4. Step 4: Simplify right side
    707.01x = 527,493.30
  5. Step 5: Solve for x
    x = 527,493.30/707.01
  6. Step 6: Final answer
    x = 746.09

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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.