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Finding the Fourth Proportional to 707.00, 975.58 and 427.21

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Solution

The fourth proportional to 707.00, 975.58 and 427.21 is: 589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.00 : 975.58 = 427.21 : x
  2. Step 2: Convert to fraction form
    707.00/975.58 = 427.21/x
  3. Step 3: Cross multiply
    707.00x = 975.58 × 427.21
  4. Step 4: Simplify right side
    707.00x = 416,774.02
  5. Step 5: Solve for x
    x = 416,774.02/707.00
  6. Step 6: Final answer
    x = 589.50

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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.