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Finding the Fourth Proportional to 584.36, 805.01 and 500.07

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Solution

The fourth proportional to 584.36, 805.01 and 500.07 is: 688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 805.01 = 500.07 : x
  2. Step 2: Convert to fraction form
    584.36/805.01 = 500.07/x
  3. Step 3: Cross multiply
    584.36x = 805.01 × 500.07
  4. Step 4: Simplify right side
    584.36x = 402,558.85
  5. Step 5: Solve for x
    x = 402,558.85/584.36
  6. Step 6: Final answer
    x = 688.89

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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.