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Finding the Fourth Proportional to 947.66, 1,421.47 and 370.53

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Solution

The fourth proportional to 947.66, 1,421.47 and 370.53 is: 555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,421.47 = 370.53 : x
  2. Step 2: Convert to fraction form
    947.66/1,421.47 = 370.53/x
  3. Step 3: Cross multiply
    947.66x = 1,421.47 × 370.53
  4. Step 4: Simplify right side
    947.66x = 526,695.66
  5. Step 5: Solve for x
    x = 526,695.66/947.66
  6. Step 6: Final answer
    x = 555.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.