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Finding the Fourth Proportional to 1,023.42, 1,534.30 and 407

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Solution

The fourth proportional to 1,023.42, 1,534.30 and 407 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.42 : 1,534.30 = 407 : x
  2. Step 2: Convert to fraction form
    1,023.42/1,534.30 = 407/x
  3. Step 3: Cross multiply
    1,023.42x = 1,534.30 × 407
  4. Step 4: Simplify right side
    1,023.42x = 624,460.10
  5. Step 5: Solve for x
    x = 624,460.10/1,023.42
  6. Step 6: Final answer
    x = 610.17

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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.