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Finding the Fourth Proportional to 1,009.58, 1,393.50 and 590.02

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Solution

The fourth proportional to 1,009.58, 1,393.50 and 590.02 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.58 : 1,393.50 = 590.02 : x
  2. Step 2: Convert to fraction form
    1,009.58/1,393.50 = 590.02/x
  3. Step 3: Cross multiply
    1,009.58x = 1,393.50 × 590.02
  4. Step 4: Simplify right side
    1,009.58x = 822,192.87
  5. Step 5: Solve for x
    x = 822,192.87/1,009.58
  6. Step 6: Final answer
    x = 814.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.