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Finding the Fourth Proportional to 1,053.45, 1,580.16 and 283.95

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Solution

The fourth proportional to 1,053.45, 1,580.16 and 283.95 is: 425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.45 : 1,580.16 = 283.95 : x
  2. Step 2: Convert to fraction form
    1,053.45/1,580.16 = 283.95/x
  3. Step 3: Cross multiply
    1,053.45x = 1,580.16 × 283.95
  4. Step 4: Simplify right side
    1,053.45x = 448,686.43
  5. Step 5: Solve for x
    x = 448,686.43/1,053.45
  6. Step 6: Final answer
    x = 425.92

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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.