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Finding the Fourth Proportional to 715.55, 1,070.08 and 706.64

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Solution

The fourth proportional to 715.55, 1,070.08 and 706.64 is: 1,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.55 : 1,070.08 = 706.64 : x
  2. Step 2: Convert to fraction form
    715.55/1,070.08 = 706.64/x
  3. Step 3: Cross multiply
    715.55x = 1,070.08 × 706.64
  4. Step 4: Simplify right side
    715.55x = 756,154.21
  5. Step 5: Solve for x
    x = 756,154.21/715.55
  6. Step 6: Final answer
    x = 1,056.75

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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.