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Finding the Fourth Proportional to 656.87, 906.71 and 435.89

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Solution

The fourth proportional to 656.87, 906.71 and 435.89 is: 601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.87 : 906.71 = 435.89 : x
  2. Step 2: Convert to fraction form
    656.87/906.71 = 435.89/x
  3. Step 3: Cross multiply
    656.87x = 906.71 × 435.89
  4. Step 4: Simplify right side
    656.87x = 395,219.11
  5. Step 5: Solve for x
    x = 395,219.11/656.87
  6. Step 6: Final answer
    x = 601.67

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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.