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Finding the Fourth Proportional to 735.72, 1,014.84 and 473.40

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Solution

The fourth proportional to 735.72, 1,014.84 and 473.40 is: 653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.72 : 1,014.84 = 473.40 : x
  2. Step 2: Convert to fraction form
    735.72/1,014.84 = 473.40/x
  3. Step 3: Cross multiply
    735.72x = 1,014.84 × 473.40
  4. Step 4: Simplify right side
    735.72x = 480,425.26
  5. Step 5: Solve for x
    x = 480,425.26/735.72
  6. Step 6: Final answer
    x = 653.00

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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.