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Finding the Fourth Proportional to 608.95, 840 and 346.93

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Solution

The fourth proportional to 608.95, 840 and 346.93 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.95 : 840 = 346.93 : x
  2. Step 2: Convert to fraction form
    608.95/840 = 346.93/x
  3. Step 3: Cross multiply
    608.95x = 840 × 346.93
  4. Step 4: Simplify right side
    608.95x = 291,421.20
  5. Step 5: Solve for x
    x = 291,421.20/608.95
  6. Step 6: Final answer
    x = 478.56

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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.