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Finding the Fourth Proportional to 715.05, 1,070.42 and 585.45

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Solution

The fourth proportional to 715.05, 1,070.42 and 585.45 is: 876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.05 : 1,070.42 = 585.45 : x
  2. Step 2: Convert to fraction form
    715.05/1,070.42 = 585.45/x
  3. Step 3: Cross multiply
    715.05x = 1,070.42 × 585.45
  4. Step 4: Simplify right side
    715.05x = 626,674.46
  5. Step 5: Solve for x
    x = 626,674.46/715.05
  6. Step 6: Final answer
    x = 876.41

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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.