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Finding the Fourth Proportional to 581, 801.78 and 319.02

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Solution

The fourth proportional to 581, 801.78 and 319.02 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581 : 801.78 = 319.02 : x
  2. Step 2: Convert to fraction form
    581/801.78 = 319.02/x
  3. Step 3: Cross multiply
    581x = 801.78 × 319.02
  4. Step 4: Simplify right side
    581x = 255,779.85
  5. Step 5: Solve for x
    x = 255,779.85/581
  6. Step 6: Final answer
    x = 440.24

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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.