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Finding the Fourth Proportional to 1,573.72, 2,358.72 and 880.36

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Solution

The fourth proportional to 1,573.72, 2,358.72 and 880.36 is: 1,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.72 : 2,358.72 = 880.36 : x
  2. Step 2: Convert to fraction form
    1,573.72/2,358.72 = 880.36/x
  3. Step 3: Cross multiply
    1,573.72x = 2,358.72 × 880.36
  4. Step 4: Simplify right side
    1,573.72x = 2,076,522.74
  5. Step 5: Solve for x
    x = 2,076,522.74/1,573.72
  6. Step 6: Final answer
    x = 1,319.50

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Double scale
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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.