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Finding the Fourth Proportional to 1,580.70, 2,369.70 and 1,117.02

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Solution

The fourth proportional to 1,580.70, 2,369.70 and 1,117.02 is: 1,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.70 : 2,369.70 = 1,117.02 : x
  2. Step 2: Convert to fraction form
    1,580.70/2,369.70 = 1,117.02/x
  3. Step 3: Cross multiply
    1,580.70x = 2,369.70 × 1,117.02
  4. Step 4: Simplify right side
    1,580.70x = 2,647,002.29
  5. Step 5: Solve for x
    x = 2,647,002.29/1,580.70
  6. Step 6: Final answer
    x = 1,674.58

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1.5x scale

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.