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Finding the Fourth Proportional to 656.34, 904.83 and 537.76

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Solution

The fourth proportional to 656.34, 904.83 and 537.76 is: 741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 904.83 = 537.76 : x
  2. Step 2: Convert to fraction form
    656.34/904.83 = 537.76/x
  3. Step 3: Cross multiply
    656.34x = 904.83 × 537.76
  4. Step 4: Simplify right side
    656.34x = 486,580.50
  5. Step 5: Solve for x
    x = 486,580.50/656.34
  6. Step 6: Final answer
    x = 741.36

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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.