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Finding the Fourth Proportional to 430.65, 643.68 and 352.76

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Solution

The fourth proportional to 430.65, 643.68 and 352.76 is: 527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.65 : 643.68 = 352.76 : x
  2. Step 2: Convert to fraction form
    430.65/643.68 = 352.76/x
  3. Step 3: Cross multiply
    430.65x = 643.68 × 352.76
  4. Step 4: Simplify right side
    430.65x = 227,061.34
  5. Step 5: Solve for x
    x = 227,061.34/430.65
  6. Step 6: Final answer
    x = 527.25

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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.