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Finding the Fourth Proportional to 455.77, 624.12 and 430.80

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Solution

The fourth proportional to 455.77, 624.12 and 430.80 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 624.12 = 430.80 : x
  2. Step 2: Convert to fraction form
    455.77/624.12 = 430.80/x
  3. Step 3: Cross multiply
    455.77x = 624.12 × 430.80
  4. Step 4: Simplify right side
    455.77x = 268,870.90
  5. Step 5: Solve for x
    x = 268,870.90/455.77
  6. Step 6: Final answer
    x = 589.93

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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.