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Finding the Fourth Proportional to 430.76, 643.67 and 292.65

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Solution

The fourth proportional to 430.76, 643.67 and 292.65 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 643.67 = 292.65 : x
  2. Step 2: Convert to fraction form
    430.76/643.67 = 292.65/x
  3. Step 3: Cross multiply
    430.76x = 643.67 × 292.65
  4. Step 4: Simplify right side
    430.76x = 188,368.56
  5. Step 5: Solve for x
    x = 188,368.56/430.76
  6. Step 6: Final answer
    x = 437.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.