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Finding the Fourth Proportional to 1,112.79, 1,670.73 and 565.35

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Solution

The fourth proportional to 1,112.79, 1,670.73 and 565.35 is: 848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.79 : 1,670.73 = 565.35 : x
  2. Step 2: Convert to fraction form
    1,112.79/1,670.73 = 565.35/x
  3. Step 3: Cross multiply
    1,112.79x = 1,670.73 × 565.35
  4. Step 4: Simplify right side
    1,112.79x = 944,547.21
  5. Step 5: Solve for x
    x = 944,547.21/1,112.79
  6. Step 6: Final answer
    x = 848.81

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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.