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Finding the Fourth Proportional to 578.47, 798.05 and 420.76

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Solution

The fourth proportional to 578.47, 798.05 and 420.76 is: 580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.47 : 798.05 = 420.76 : x
  2. Step 2: Convert to fraction form
    578.47/798.05 = 420.76/x
  3. Step 3: Cross multiply
    578.47x = 798.05 × 420.76
  4. Step 4: Simplify right side
    578.47x = 335,783.42
  5. Step 5: Solve for x
    x = 335,783.42/578.47
  6. Step 6: Final answer
    x = 580.47

Related Problems

Find fourth proportional to 289.23, 399.02 and 210.38
Half scale
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Double scale
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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.