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Finding the Fourth Proportional to 675.95, 933.04 and 410.39

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Solution

The fourth proportional to 675.95, 933.04 and 410.39 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.95 : 933.04 = 410.39 : x
  2. Step 2: Convert to fraction form
    675.95/933.04 = 410.39/x
  3. Step 3: Cross multiply
    675.95x = 933.04 × 410.39
  4. Step 4: Simplify right side
    675.95x = 382,913.41
  5. Step 5: Solve for x
    x = 382,913.41/675.95
  6. Step 6: Final answer
    x = 566.49

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1.5x scale

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.