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Finding the Fourth Proportional to 745.40, 1,117.40 and 398.52

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Solution

The fourth proportional to 745.40, 1,117.40 and 398.52 is: 597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,117.40 = 398.52 : x
  2. Step 2: Convert to fraction form
    745.40/1,117.40 = 398.52/x
  3. Step 3: Cross multiply
    745.40x = 1,117.40 × 398.52
  4. Step 4: Simplify right side
    745.40x = 445,304.26
  5. Step 5: Solve for x
    x = 445,304.26/745.40
  6. Step 6: Final answer
    x = 597.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.