Home / 1,151.69-1,587.92-974.35

Finding the Fourth Proportional to 1,151.69, 1,587.92 and 974.35

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Solution

The fourth proportional to 1,151.69, 1,587.92 and 974.35 is: 1,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.69 : 1,587.92 = 974.35 : x
  2. Step 2: Convert to fraction form
    1,151.69/1,587.92 = 974.35/x
  3. Step 3: Cross multiply
    1,151.69x = 1,587.92 × 974.35
  4. Step 4: Simplify right side
    1,151.69x = 1,547,181.01
  5. Step 5: Solve for x
    x = 1,547,181.01/1,151.69
  6. Step 6: Final answer
    x = 1,343.40

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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.