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Finding the Fourth Proportional to 690.54, 952.90 and 410.76

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Solution

The fourth proportional to 690.54, 952.90 and 410.76 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 952.90 = 410.76 : x
  2. Step 2: Convert to fraction form
    690.54/952.90 = 410.76/x
  3. Step 3: Cross multiply
    690.54x = 952.90 × 410.76
  4. Step 4: Simplify right side
    690.54x = 391,413.20
  5. Step 5: Solve for x
    x = 391,413.20/690.54
  6. Step 6: Final answer
    x = 566.82

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Half scale
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Double scale
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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.