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Finding the Fourth Proportional to 1,030.18, 1,421.93 and 662.82

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Solution

The fourth proportional to 1,030.18, 1,421.93 and 662.82 is: 914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.18 : 1,421.93 = 662.82 : x
  2. Step 2: Convert to fraction form
    1,030.18/1,421.93 = 662.82/x
  3. Step 3: Cross multiply
    1,030.18x = 1,421.93 × 662.82
  4. Step 4: Simplify right side
    1,030.18x = 942,483.64
  5. Step 5: Solve for x
    x = 942,483.64/1,030.18
  6. Step 6: Final answer
    x = 914.87

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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.