Home / 1,106.10-1,526.49-640.35

Finding the Fourth Proportional to 1,106.10, 1,526.49 and 640.35

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Solution

The fourth proportional to 1,106.10, 1,526.49 and 640.35 is: 883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.10 : 1,526.49 = 640.35 : x
  2. Step 2: Convert to fraction form
    1,106.10/1,526.49 = 640.35/x
  3. Step 3: Cross multiply
    1,106.10x = 1,526.49 × 640.35
  4. Step 4: Simplify right side
    1,106.10x = 977,477.04
  5. Step 5: Solve for x
    x = 977,477.04/1,106.10
  6. Step 6: Final answer
    x = 883.72

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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.