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Finding the Fourth Proportional to 581.29, 802.35 and 384.85

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Solution

The fourth proportional to 581.29, 802.35 and 384.85 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.29 : 802.35 = 384.85 : x
  2. Step 2: Convert to fraction form
    581.29/802.35 = 384.85/x
  3. Step 3: Cross multiply
    581.29x = 802.35 × 384.85
  4. Step 4: Simplify right side
    581.29x = 308,784.40
  5. Step 5: Solve for x
    x = 308,784.40/581.29
  6. Step 6: Final answer
    x = 531.21

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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.