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Finding the Fourth Proportional to 740.72, 1,021.47 and 474.86

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Solution

The fourth proportional to 740.72, 1,021.47 and 474.86 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.72 : 1,021.47 = 474.86 : x
  2. Step 2: Convert to fraction form
    740.72/1,021.47 = 474.86/x
  3. Step 3: Cross multiply
    740.72x = 1,021.47 × 474.86
  4. Step 4: Simplify right side
    740.72x = 485,050.14
  5. Step 5: Solve for x
    x = 485,050.14/740.72
  6. Step 6: Final answer
    x = 654.84

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Double scale
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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.