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Finding the Fourth Proportional to 535.26, 802.87 and 340.45

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Solution

The fourth proportional to 535.26, 802.87 and 340.45 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 802.87 = 340.45 : x
  2. Step 2: Convert to fraction form
    535.26/802.87 = 340.45/x
  3. Step 3: Cross multiply
    535.26x = 802.87 × 340.45
  4. Step 4: Simplify right side
    535.26x = 273,337.09
  5. Step 5: Solve for x
    x = 273,337.09/535.26
  6. Step 6: Final answer
    x = 510.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.