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Finding the Fourth Proportional to 832.07, 1,148.33 and 500.45

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Solution

The fourth proportional to 832.07, 1,148.33 and 500.45 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,148.33 = 500.45 : x
  2. Step 2: Convert to fraction form
    832.07/1,148.33 = 500.45/x
  3. Step 3: Cross multiply
    832.07x = 1,148.33 × 500.45
  4. Step 4: Simplify right side
    832.07x = 574,673.50
  5. Step 5: Solve for x
    x = 574,673.50/832.07
  6. Step 6: Final answer
    x = 690.66

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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.