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Finding the Fourth Proportional to 1,420.56, 2,130.02 and 651.08

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Solution

The fourth proportional to 1,420.56, 2,130.02 and 651.08 is: 976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 2,130.02 = 651.08 : x
  2. Step 2: Convert to fraction form
    1,420.56/2,130.02 = 651.08/x
  3. Step 3: Cross multiply
    1,420.56x = 2,130.02 × 651.08
  4. Step 4: Simplify right side
    1,420.56x = 1,386,813.42
  5. Step 5: Solve for x
    x = 1,386,813.42/1,420.56
  6. Step 6: Final answer
    x = 976.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.