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Finding the Fourth Proportional to 913.80, 1,368.90 and 588

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Solution

The fourth proportional to 913.80, 1,368.90 and 588 is: 880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.80 : 1,368.90 = 588 : x
  2. Step 2: Convert to fraction form
    913.80/1,368.90 = 588/x
  3. Step 3: Cross multiply
    913.80x = 1,368.90 × 588
  4. Step 4: Simplify right side
    913.80x = 804,913.20
  5. Step 5: Solve for x
    x = 804,913.20/913.80
  6. Step 6: Final answer
    x = 880.84

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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.