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Finding the Fourth Proportional to 835.61, 1,152.63 and 670.23

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Solution

The fourth proportional to 835.61, 1,152.63 and 670.23 is: 924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.61 : 1,152.63 = 670.23 : x
  2. Step 2: Convert to fraction form
    835.61/1,152.63 = 670.23/x
  3. Step 3: Cross multiply
    835.61x = 1,152.63 × 670.23
  4. Step 4: Simplify right side
    835.61x = 772,527.20
  5. Step 5: Solve for x
    x = 772,527.20/835.61
  6. Step 6: Final answer
    x = 924.51

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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.