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Finding the Fourth Proportional to 464.76, 640.98 and 421.02

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Solution

The fourth proportional to 464.76, 640.98 and 421.02 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 640.98 = 421.02 : x
  2. Step 2: Convert to fraction form
    464.76/640.98 = 421.02/x
  3. Step 3: Cross multiply
    464.76x = 640.98 × 421.02
  4. Step 4: Simplify right side
    464.76x = 269,865.40
  5. Step 5: Solve for x
    x = 269,865.40/464.76
  6. Step 6: Final answer
    x = 580.66

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Find fourth proportional to 232.38, 320.49 and 210.51
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.