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Finding the Fourth Proportional to 1,030.09, 1,421.01 and 735.53

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Solution

The fourth proportional to 1,030.09, 1,421.01 and 735.53 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.09 : 1,421.01 = 735.53 : x
  2. Step 2: Convert to fraction form
    1,030.09/1,421.01 = 735.53/x
  3. Step 3: Cross multiply
    1,030.09x = 1,421.01 × 735.53
  4. Step 4: Simplify right side
    1,030.09x = 1,045,199.04
  5. Step 5: Solve for x
    x = 1,045,199.04/1,030.09
  6. Step 6: Final answer
    x = 1,014.67

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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.