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Finding the Fourth Proportional to 942.53, 1,412.75 and 421.98

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Solution

The fourth proportional to 942.53, 1,412.75 and 421.98 is: 632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.53 : 1,412.75 = 421.98 : x
  2. Step 2: Convert to fraction form
    942.53/1,412.75 = 421.98/x
  3. Step 3: Cross multiply
    942.53x = 1,412.75 × 421.98
  4. Step 4: Simplify right side
    942.53x = 596,148.00
  5. Step 5: Solve for x
    x = 596,148.00/942.53
  6. Step 6: Final answer
    x = 632.50

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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.