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Finding the Fourth Proportional to 1,159.54, 1,739.00 and 542.93

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Solution

The fourth proportional to 1,159.54, 1,739.00 and 542.93 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.54 : 1,739.00 = 542.93 : x
  2. Step 2: Convert to fraction form
    1,159.54/1,739.00 = 542.93/x
  3. Step 3: Cross multiply
    1,159.54x = 1,739.00 × 542.93
  4. Step 4: Simplify right side
    1,159.54x = 944,147.93
  5. Step 5: Solve for x
    x = 944,147.93/1,159.54
  6. Step 6: Final answer
    x = 814.25

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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.