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Finding the Fourth Proportional to 1,055.34, 1,582.95 and 275.34

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Solution

The fourth proportional to 1,055.34, 1,582.95 and 275.34 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.34 : 1,582.95 = 275.34 : x
  2. Step 2: Convert to fraction form
    1,055.34/1,582.95 = 275.34/x
  3. Step 3: Cross multiply
    1,055.34x = 1,582.95 × 275.34
  4. Step 4: Simplify right side
    1,055.34x = 435,849.45
  5. Step 5: Solve for x
    x = 435,849.45/1,055.34
  6. Step 6: Final answer
    x = 412.99

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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.