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Finding the Fourth Proportional to 698.37, 1,048 and 390.43

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Solution

The fourth proportional to 698.37, 1,048 and 390.43 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 1,048 = 390.43 : x
  2. Step 2: Convert to fraction form
    698.37/1,048 = 390.43/x
  3. Step 3: Cross multiply
    698.37x = 1,048 × 390.43
  4. Step 4: Simplify right side
    698.37x = 409,166.71
  5. Step 5: Solve for x
    x = 409,166.71/698.37
  6. Step 6: Final answer
    x = 585.89

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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.