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Finding the Fourth Proportional to 690.80, 1,034.69 and 535.51

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Solution

The fourth proportional to 690.80, 1,034.69 and 535.51 is: 802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 1,034.69 = 535.51 : x
  2. Step 2: Convert to fraction form
    690.80/1,034.69 = 535.51/x
  3. Step 3: Cross multiply
    690.80x = 1,034.69 × 535.51
  4. Step 4: Simplify right side
    690.80x = 554,084.16
  5. Step 5: Solve for x
    x = 554,084.16/690.80
  6. Step 6: Final answer
    x = 802.09

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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.