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Finding the Fourth Proportional to 1,162.02, 1,602.66 and 720.06

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Solution

The fourth proportional to 1,162.02, 1,602.66 and 720.06 is: 993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.02 : 1,602.66 = 720.06 : x
  2. Step 2: Convert to fraction form
    1,162.02/1,602.66 = 720.06/x
  3. Step 3: Cross multiply
    1,162.02x = 1,602.66 × 720.06
  4. Step 4: Simplify right side
    1,162.02x = 1,154,011.36
  5. Step 5: Solve for x
    x = 1,154,011.36/1,162.02
  6. Step 6: Final answer
    x = 993.11

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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.