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Finding the Fourth Proportional to 580.83, 802.08 and 384.45

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Solution

The fourth proportional to 580.83, 802.08 and 384.45 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.83 : 802.08 = 384.45 : x
  2. Step 2: Convert to fraction form
    580.83/802.08 = 384.45/x
  3. Step 3: Cross multiply
    580.83x = 802.08 × 384.45
  4. Step 4: Simplify right side
    580.83x = 308,359.66
  5. Step 5: Solve for x
    x = 308,359.66/580.83
  6. Step 6: Final answer
    x = 530.89

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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.