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Finding the Fourth Proportional to 924.84, 1,386.58 and 559.55

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Solution

The fourth proportional to 924.84, 1,386.58 and 559.55 is: 838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.84 : 1,386.58 = 559.55 : x
  2. Step 2: Convert to fraction form
    924.84/1,386.58 = 559.55/x
  3. Step 3: Cross multiply
    924.84x = 1,386.58 × 559.55
  4. Step 4: Simplify right side
    924.84x = 775,865.00
  5. Step 5: Solve for x
    x = 775,865.00/924.84
  6. Step 6: Final answer
    x = 838.91

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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.