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Finding the Fourth Proportional to 1,159.98, 1,740.25 and 390.54

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Solution

The fourth proportional to 1,159.98, 1,740.25 and 390.54 is: 585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.98 : 1,740.25 = 390.54 : x
  2. Step 2: Convert to fraction form
    1,159.98/1,740.25 = 390.54/x
  3. Step 3: Cross multiply
    1,159.98x = 1,740.25 × 390.54
  4. Step 4: Simplify right side
    1,159.98x = 679,637.24
  5. Step 5: Solve for x
    x = 679,637.24/1,159.98
  6. Step 6: Final answer
    x = 585.90

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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.