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Finding the Fourth Proportional to 430.65, 643.23 and 373.05

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Solution

The fourth proportional to 430.65, 643.23 and 373.05 is: 557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.65 : 643.23 = 373.05 : x
  2. Step 2: Convert to fraction form
    430.65/643.23 = 373.05/x
  3. Step 3: Cross multiply
    430.65x = 643.23 × 373.05
  4. Step 4: Simplify right side
    430.65x = 239,956.95
  5. Step 5: Solve for x
    x = 239,956.95/430.65
  6. Step 6: Final answer
    x = 557.20

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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.