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Finding the Fourth Proportional to 1,033.01, 1,425.51 and 590.89

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Solution

The fourth proportional to 1,033.01, 1,425.51 and 590.89 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.01 : 1,425.51 = 590.89 : x
  2. Step 2: Convert to fraction form
    1,033.01/1,425.51 = 590.89/x
  3. Step 3: Cross multiply
    1,033.01x = 1,425.51 × 590.89
  4. Step 4: Simplify right side
    1,033.01x = 842,316.04
  5. Step 5: Solve for x
    x = 842,316.04/1,033.01
  6. Step 6: Final answer
    x = 815.40

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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.