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Finding the Fourth Proportional to 430.77, 642.85 and 384.63

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Solution

The fourth proportional to 430.77, 642.85 and 384.63 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 642.85 = 384.63 : x
  2. Step 2: Convert to fraction form
    430.77/642.85 = 384.63/x
  3. Step 3: Cross multiply
    430.77x = 642.85 × 384.63
  4. Step 4: Simplify right side
    430.77x = 247,260.12
  5. Step 5: Solve for x
    x = 247,260.12/430.77
  6. Step 6: Final answer
    x = 574.00

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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.