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Finding the Fourth Proportional to 606.80, 838.02 and 420.76

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Solution

The fourth proportional to 606.80, 838.02 and 420.76 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 838.02 = 420.76 : x
  2. Step 2: Convert to fraction form
    606.80/838.02 = 420.76/x
  3. Step 3: Cross multiply
    606.80x = 838.02 × 420.76
  4. Step 4: Simplify right side
    606.80x = 352,605.30
  5. Step 5: Solve for x
    x = 352,605.30/606.80
  6. Step 6: Final answer
    x = 581.09

Related Problems

Find fourth proportional to 303.40, 419.01 and 210.38
Half scale
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Double scale
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1.5x scale

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.