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Finding the Fourth Proportional to 690.83, 1,036.70 and 509.49

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Solution

The fourth proportional to 690.83, 1,036.70 and 509.49 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.83 : 1,036.70 = 509.49 : x
  2. Step 2: Convert to fraction form
    690.83/1,036.70 = 509.49/x
  3. Step 3: Cross multiply
    690.83x = 1,036.70 × 509.49
  4. Step 4: Simplify right side
    690.83x = 528,187.65
  5. Step 5: Solve for x
    x = 528,187.65/690.83
  6. Step 6: Final answer
    x = 764.57

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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.