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Finding the Fourth Proportional to 1,045.10, 1,441.80 and 651.90

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Solution

The fourth proportional to 1,045.10, 1,441.80 and 651.90 is: 899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.10 : 1,441.80 = 651.90 : x
  2. Step 2: Convert to fraction form
    1,045.10/1,441.80 = 651.90/x
  3. Step 3: Cross multiply
    1,045.10x = 1,441.80 × 651.90
  4. Step 4: Simplify right side
    1,045.10x = 939,909.42
  5. Step 5: Solve for x
    x = 939,909.42/1,045.10
  6. Step 6: Final answer
    x = 899.35

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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.