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Finding the Fourth Proportional to 690.16, 1,029.08 and 613.84

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Solution

The fourth proportional to 690.16, 1,029.08 and 613.84 is: 915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 1,029.08 = 613.84 : x
  2. Step 2: Convert to fraction form
    690.16/1,029.08 = 613.84/x
  3. Step 3: Cross multiply
    690.16x = 1,029.08 × 613.84
  4. Step 4: Simplify right side
    690.16x = 631,690.47
  5. Step 5: Solve for x
    x = 631,690.47/690.16
  6. Step 6: Final answer
    x = 915.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.