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Finding the Fourth Proportional to 713.57, 1,070.76 and 405.77

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Solution

The fourth proportional to 713.57, 1,070.76 and 405.77 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.57 : 1,070.76 = 405.77 : x
  2. Step 2: Convert to fraction form
    713.57/1,070.76 = 405.77/x
  3. Step 3: Cross multiply
    713.57x = 1,070.76 × 405.77
  4. Step 4: Simplify right side
    713.57x = 434,482.29
  5. Step 5: Solve for x
    x = 434,482.29/713.57
  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.