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Finding the Fourth Proportional to 1,106.38, 1,527 and 775.30

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Solution

The fourth proportional to 1,106.38, 1,527 and 775.30 is: 1,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,527 = 775.30 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,527 = 775.30/x
  3. Step 3: Cross multiply
    1,106.38x = 1,527 × 775.30
  4. Step 4: Simplify right side
    1,106.38x = 1,183,875.47
  5. Step 5: Solve for x
    x = 1,183,875.47/1,106.38
  6. Step 6: Final answer
    x = 1,070.05

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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.