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Finding the Fourth Proportional to 1,111.16, 1,532.93 and 638.95

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Solution

The fourth proportional to 1,111.16, 1,532.93 and 638.95 is: 881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.16 : 1,532.93 = 638.95 : x
  2. Step 2: Convert to fraction form
    1,111.16/1,532.93 = 638.95/x
  3. Step 3: Cross multiply
    1,111.16x = 1,532.93 × 638.95
  4. Step 4: Simplify right side
    1,111.16x = 979,466.74
  5. Step 5: Solve for x
    x = 979,466.74/1,111.16
  6. Step 6: Final answer
    x = 881.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.