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Finding the Fourth Proportional to 707.34, 975.42 and 427.62

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Solution

The fourth proportional to 707.34, 975.42 and 427.62 is: 589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.34 : 975.42 = 427.62 : x
  2. Step 2: Convert to fraction form
    707.34/975.42 = 427.62/x
  3. Step 3: Cross multiply
    707.34x = 975.42 × 427.62
  4. Step 4: Simplify right side
    707.34x = 417,109.10
  5. Step 5: Solve for x
    x = 417,109.10/707.34
  6. Step 6: Final answer
    x = 589.69

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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.