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Finding the Fourth Proportional to 723.60, 1,001.16 and 612.72

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Solution

The fourth proportional to 723.60, 1,001.16 and 612.72 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.60 : 1,001.16 = 612.72 : x
  2. Step 2: Convert to fraction form
    723.60/1,001.16 = 612.72/x
  3. Step 3: Cross multiply
    723.60x = 1,001.16 × 612.72
  4. Step 4: Simplify right side
    723.60x = 613,430.76
  5. Step 5: Solve for x
    x = 613,430.76/723.60
  6. Step 6: Final answer
    x = 847.75

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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.