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Finding the Fourth Proportional to 978.18, 1,349.91 and 536.06

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Solution

The fourth proportional to 978.18, 1,349.91 and 536.06 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.18 : 1,349.91 = 536.06 : x
  2. Step 2: Convert to fraction form
    978.18/1,349.91 = 536.06/x
  3. Step 3: Cross multiply
    978.18x = 1,349.91 × 536.06
  4. Step 4: Simplify right side
    978.18x = 723,626.01
  5. Step 5: Solve for x
    x = 723,626.01/978.18
  6. Step 6: Final answer
    x = 739.77

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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.