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Finding the Fourth Proportional to 746.51, 1,030.25 and 427.52

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Solution

The fourth proportional to 746.51, 1,030.25 and 427.52 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,030.25 = 427.52 : x
  2. Step 2: Convert to fraction form
    746.51/1,030.25 = 427.52/x
  3. Step 3: Cross multiply
    746.51x = 1,030.25 × 427.52
  4. Step 4: Simplify right side
    746.51x = 440,456.12
  5. Step 5: Solve for x
    x = 440,456.12/746.51
  6. Step 6: Final answer
    x = 590.02

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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.