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Finding the Fourth Proportional to 835.09, 1,152.57 and 485.77

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Solution

The fourth proportional to 835.09, 1,152.57 and 485.77 is: 670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.09 : 1,152.57 = 485.77 : x
  2. Step 2: Convert to fraction form
    835.09/1,152.57 = 485.77/x
  3. Step 3: Cross multiply
    835.09x = 1,152.57 × 485.77
  4. Step 4: Simplify right side
    835.09x = 559,883.93
  5. Step 5: Solve for x
    x = 559,883.93/835.09
  6. Step 6: Final answer
    x = 670.45

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1.5x scale

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.