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Finding the Fourth Proportional to 1,464.52, 2,021.02 and 835.07

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Solution

The fourth proportional to 1,464.52, 2,021.02 and 835.07 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.52 : 2,021.02 = 835.07 : x
  2. Step 2: Convert to fraction form
    1,464.52/2,021.02 = 835.07/x
  3. Step 3: Cross multiply
    1,464.52x = 2,021.02 × 835.07
  4. Step 4: Simplify right side
    1,464.52x = 1,687,693.17
  5. Step 5: Solve for x
    x = 1,687,693.17/1,464.52
  6. Step 6: Final answer
    x = 1,152.39

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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.