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Finding the Fourth Proportional to 1,149.02, 1,585.38 and 651.55

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Solution

The fourth proportional to 1,149.02, 1,585.38 and 651.55 is: 898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.02 : 1,585.38 = 651.55 : x
  2. Step 2: Convert to fraction form
    1,149.02/1,585.38 = 651.55/x
  3. Step 3: Cross multiply
    1,149.02x = 1,585.38 × 651.55
  4. Step 4: Simplify right side
    1,149.02x = 1,032,950.38
  5. Step 5: Solve for x
    x = 1,032,950.38/1,149.02
  6. Step 6: Final answer
    x = 898.99

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1.5x scale

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.