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Finding the Fourth Proportional to 454.50, 623.07 and 430.20

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Solution

The fourth proportional to 454.50, 623.07 and 430.20 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 623.07 = 430.20 : x
  2. Step 2: Convert to fraction form
    454.50/623.07 = 430.20/x
  3. Step 3: Cross multiply
    454.50x = 623.07 × 430.20
  4. Step 4: Simplify right side
    454.50x = 268,044.71
  5. Step 5: Solve for x
    x = 268,044.71/454.50
  6. Step 6: Final answer
    x = 589.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.