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Finding the Fourth Proportional to 652.02, 978.30 and 420.84

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Solution

The fourth proportional to 652.02, 978.30 and 420.84 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 978.30 = 420.84 : x
  2. Step 2: Convert to fraction form
    652.02/978.30 = 420.84/x
  3. Step 3: Cross multiply
    652.02x = 978.30 × 420.84
  4. Step 4: Simplify right side
    652.02x = 411,707.77
  5. Step 5: Solve for x
    x = 411,707.77/652.02
  6. Step 6: Final answer
    x = 631.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.