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Finding the Fourth Proportional to 945.84, 1,418.40 and 555.94

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Solution

The fourth proportional to 945.84, 1,418.40 and 555.94 is: 833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,418.40 = 555.94 : x
  2. Step 2: Convert to fraction form
    945.84/1,418.40 = 555.94/x
  3. Step 3: Cross multiply
    945.84x = 1,418.40 × 555.94
  4. Step 4: Simplify right side
    945.84x = 788,547.07
  5. Step 5: Solve for x
    x = 788,547.07/945.84
  6. Step 6: Final answer
    x = 833.70

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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.