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Finding the Fourth Proportional to 583.91, 805.45 and 384.68

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Solution

The fourth proportional to 583.91, 805.45 and 384.68 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.91 : 805.45 = 384.68 : x
  2. Step 2: Convert to fraction form
    583.91/805.45 = 384.68/x
  3. Step 3: Cross multiply
    583.91x = 805.45 × 384.68
  4. Step 4: Simplify right side
    583.91x = 309,841.56
  5. Step 5: Solve for x
    x = 309,841.56/583.91
  6. Step 6: Final answer
    x = 530.64

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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.