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Finding the Fourth Proportional to 707.38, 975.09 and 576.16

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Solution

The fourth proportional to 707.38, 975.09 and 576.16 is: 794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.38 : 975.09 = 576.16 : x
  2. Step 2: Convert to fraction form
    707.38/975.09 = 576.16/x
  3. Step 3: Cross multiply
    707.38x = 975.09 × 576.16
  4. Step 4: Simplify right side
    707.38x = 561,807.85
  5. Step 5: Solve for x
    x = 561,807.85/707.38
  6. Step 6: Final answer
    x = 794.21

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1.5x scale

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.