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Finding the Fourth Proportional to 656.19, 905.63 and 407.76

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Solution

The fourth proportional to 656.19, 905.63 and 407.76 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 905.63 = 407.76 : x
  2. Step 2: Convert to fraction form
    656.19/905.63 = 407.76/x
  3. Step 3: Cross multiply
    656.19x = 905.63 × 407.76
  4. Step 4: Simplify right side
    656.19x = 369,277.65
  5. Step 5: Solve for x
    x = 369,277.65/656.19
  6. Step 6: Final answer
    x = 562.76

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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.