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Finding the Fourth Proportional to 738.08, 1,018.68 and 427.60

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Solution

The fourth proportional to 738.08, 1,018.68 and 427.60 is: 590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.08 : 1,018.68 = 427.60 : x
  2. Step 2: Convert to fraction form
    738.08/1,018.68 = 427.60/x
  3. Step 3: Cross multiply
    738.08x = 1,018.68 × 427.60
  4. Step 4: Simplify right side
    738.08x = 435,587.57
  5. Step 5: Solve for x
    x = 435,587.57/738.08
  6. Step 6: Final answer
    x = 590.16

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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.