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Finding the Fourth Proportional to 1,159.69, 1,739.71 and 390.13

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Solution

The fourth proportional to 1,159.69, 1,739.71 and 390.13 is: 585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.69 : 1,739.71 = 390.13 : x
  2. Step 2: Convert to fraction form
    1,159.69/1,739.71 = 390.13/x
  3. Step 3: Cross multiply
    1,159.69x = 1,739.71 × 390.13
  4. Step 4: Simplify right side
    1,159.69x = 678,703.39
  5. Step 5: Solve for x
    x = 678,703.39/1,159.69
  6. Step 6: Final answer
    x = 585.25

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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.