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Finding the Fourth Proportional to 474.83, 708.57 and 420.16

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Solution

The fourth proportional to 474.83, 708.57 and 420.16 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.83 : 708.57 = 420.16 : x
  2. Step 2: Convert to fraction form
    474.83/708.57 = 420.16/x
  3. Step 3: Cross multiply
    474.83x = 708.57 × 420.16
  4. Step 4: Simplify right side
    474.83x = 297,707.13
  5. Step 5: Solve for x
    x = 297,707.13/474.83
  6. Step 6: Final answer
    x = 626.98

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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.