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Finding the Fourth Proportional to 656.12, 904.98 and 434.96

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Solution

The fourth proportional to 656.12, 904.98 and 434.96 is: 599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.12 : 904.98 = 434.96 : x
  2. Step 2: Convert to fraction form
    656.12/904.98 = 434.96/x
  3. Step 3: Cross multiply
    656.12x = 904.98 × 434.96
  4. Step 4: Simplify right side
    656.12x = 393,630.10
  5. Step 5: Solve for x
    x = 393,630.10/656.12
  6. Step 6: Final answer
    x = 599.94

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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.