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Finding the Fourth Proportional to 713.58, 1,070.76 and 405.78

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Solution

The fourth proportional to 713.58, 1,070.76 and 405.78 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 1,070.76 = 405.78 : x
  2. Step 2: Convert to fraction form
    713.58/1,070.76 = 405.78/x
  3. Step 3: Cross multiply
    713.58x = 1,070.76 × 405.78
  4. Step 4: Simplify right side
    713.58x = 434,492.99
  5. Step 5: Solve for x
    x = 434,492.99/713.58
  6. Step 6: Final answer
    x = 608.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.