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Finding the Fourth Proportional to 1,050.02, 1,449.03 and 651.53

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Solution

The fourth proportional to 1,050.02, 1,449.03 and 651.53 is: 899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.02 : 1,449.03 = 651.53 : x
  2. Step 2: Convert to fraction form
    1,050.02/1,449.03 = 651.53/x
  3. Step 3: Cross multiply
    1,050.02x = 1,449.03 × 651.53
  4. Step 4: Simplify right side
    1,050.02x = 944,089.51
  5. Step 5: Solve for x
    x = 944,089.51/1,050.02
  6. Step 6: Final answer
    x = 899.12

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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.