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Finding the Fourth Proportional to 1,030.17, 1,421.01 and 651.45

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Solution

The fourth proportional to 1,030.17, 1,421.01 and 651.45 is: 898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.17 : 1,421.01 = 651.45 : x
  2. Step 2: Convert to fraction form
    1,030.17/1,421.01 = 651.45/x
  3. Step 3: Cross multiply
    1,030.17x = 1,421.01 × 651.45
  4. Step 4: Simplify right side
    1,030.17x = 925,716.96
  5. Step 5: Solve for x
    x = 925,716.96/1,030.17
  6. Step 6: Final answer
    x = 898.61

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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.