Home / 1,587.49-2,378.60-546.93

Finding the Fourth Proportional to 1,587.49, 2,378.60 and 546.93

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Solution

The fourth proportional to 1,587.49, 2,378.60 and 546.93 is: 819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.49 : 2,378.60 = 546.93 : x
  2. Step 2: Convert to fraction form
    1,587.49/2,378.60 = 546.93/x
  3. Step 3: Cross multiply
    1,587.49x = 2,378.60 × 546.93
  4. Step 4: Simplify right side
    1,587.49x = 1,300,927.70
  5. Step 5: Solve for x
    x = 1,300,927.70/1,587.49
  6. Step 6: Final answer
    x = 819.49

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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.