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Finding the Fourth Proportional to 715.13, 1,071.98 and 637.77

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Solution

The fourth proportional to 715.13, 1,071.98 and 637.77 is: 956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.13 : 1,071.98 = 637.77 : x
  2. Step 2: Convert to fraction form
    715.13/1,071.98 = 637.77/x
  3. Step 3: Cross multiply
    715.13x = 1,071.98 × 637.77
  4. Step 4: Simplify right side
    715.13x = 683,673.50
  5. Step 5: Solve for x
    x = 683,673.50/715.13
  6. Step 6: Final answer
    x = 956.02

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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.