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Finding the Fourth Proportional to 656.30, 901.90 and 591.50

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Solution

The fourth proportional to 656.30, 901.90 and 591.50 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 901.90 = 591.50 : x
  2. Step 2: Convert to fraction form
    656.30/901.90 = 591.50/x
  3. Step 3: Cross multiply
    656.30x = 901.90 × 591.50
  4. Step 4: Simplify right side
    656.30x = 533,473.85
  5. Step 5: Solve for x
    x = 533,473.85/656.30
  6. Step 6: Final answer
    x = 812.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.