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Finding the Fourth Proportional to 584.23, 805.34 and 384.72

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Solution

The fourth proportional to 584.23, 805.34 and 384.72 is: 530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 805.34 = 384.72 : x
  2. Step 2: Convert to fraction form
    584.23/805.34 = 384.72/x
  3. Step 3: Cross multiply
    584.23x = 805.34 × 384.72
  4. Step 4: Simplify right side
    584.23x = 309,830.81
  5. Step 5: Solve for x
    x = 309,830.81/584.23
  6. Step 6: Final answer
    x = 530.32

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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.