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Finding the Fourth Proportional to 707.04, 975.71 and 423.49

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Solution

The fourth proportional to 707.04, 975.71 and 423.49 is: 584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 975.71 = 423.49 : x
  2. Step 2: Convert to fraction form
    707.04/975.71 = 423.49/x
  3. Step 3: Cross multiply
    707.04x = 975.71 × 423.49
  4. Step 4: Simplify right side
    707.04x = 413,203.43
  5. Step 5: Solve for x
    x = 413,203.43/707.04
  6. Step 6: Final answer
    x = 584.41

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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.