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Finding the Fourth Proportional to 740.34, 1,021.26 and 460.62

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Solution

The fourth proportional to 740.34, 1,021.26 and 460.62 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.34 : 1,021.26 = 460.62 : x
  2. Step 2: Convert to fraction form
    740.34/1,021.26 = 460.62/x
  3. Step 3: Cross multiply
    740.34x = 1,021.26 × 460.62
  4. Step 4: Simplify right side
    740.34x = 470,412.78
  5. Step 5: Solve for x
    x = 470,412.78/740.34
  6. Step 6: Final answer
    x = 635.40

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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.