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Finding the Fourth Proportional to 537.79, 802.33 and 479.35

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Solution

The fourth proportional to 537.79, 802.33 and 479.35 is: 715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.79 : 802.33 = 479.35 : x
  2. Step 2: Convert to fraction form
    537.79/802.33 = 479.35/x
  3. Step 3: Cross multiply
    537.79x = 802.33 × 479.35
  4. Step 4: Simplify right side
    537.79x = 384,596.89
  5. Step 5: Solve for x
    x = 384,596.89/537.79
  6. Step 6: Final answer
    x = 715.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.