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Finding the Fourth Proportional to 1,030.01, 1,421.03 and 657.01

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Solution

The fourth proportional to 1,030.01, 1,421.03 and 657.01 is: 906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.01 : 1,421.03 = 657.01 : x
  2. Step 2: Convert to fraction form
    1,030.01/1,421.03 = 657.01/x
  3. Step 3: Cross multiply
    1,030.01x = 1,421.03 × 657.01
  4. Step 4: Simplify right side
    1,030.01x = 933,620.53
  5. Step 5: Solve for x
    x = 933,620.53/1,030.01
  6. Step 6: Final answer
    x = 906.42

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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.