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Finding the Fourth Proportional to 1,146.99, 1,582.70 and 642.87

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Solution

The fourth proportional to 1,146.99, 1,582.70 and 642.87 is: 887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.99 : 1,582.70 = 642.87 : x
  2. Step 2: Convert to fraction form
    1,146.99/1,582.70 = 642.87/x
  3. Step 3: Cross multiply
    1,146.99x = 1,582.70 × 642.87
  4. Step 4: Simplify right side
    1,146.99x = 1,017,470.35
  5. Step 5: Solve for x
    x = 1,017,470.35/1,146.99
  6. Step 6: Final answer
    x = 887.08

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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.