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Finding the Fourth Proportional to 740.15, 1,021.77 and 460.47

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Solution

The fourth proportional to 740.15, 1,021.77 and 460.47 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.15 : 1,021.77 = 460.47 : x
  2. Step 2: Convert to fraction form
    740.15/1,021.77 = 460.47/x
  3. Step 3: Cross multiply
    740.15x = 1,021.77 × 460.47
  4. Step 4: Simplify right side
    740.15x = 470,494.43
  5. Step 5: Solve for x
    x = 470,494.43/740.15
  6. Step 6: Final answer
    x = 635.68

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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.