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Finding the Fourth Proportional to 616.59, 851.06 and 354.77

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Solution

The fourth proportional to 616.59, 851.06 and 354.77 is: 489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.59 : 851.06 = 354.77 : x
  2. Step 2: Convert to fraction form
    616.59/851.06 = 354.77/x
  3. Step 3: Cross multiply
    616.59x = 851.06 × 354.77
  4. Step 4: Simplify right side
    616.59x = 301,924.53
  5. Step 5: Solve for x
    x = 301,924.53/616.59
  6. Step 6: Final answer
    x = 489.67

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Find fourth proportional to 308.30, 425.53 and 177.38
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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.