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Finding the Fourth Proportional to 777.65, 1,072.71 and 497.32

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Solution

The fourth proportional to 777.65, 1,072.71 and 497.32 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.65 : 1,072.71 = 497.32 : x
  2. Step 2: Convert to fraction form
    777.65/1,072.71 = 497.32/x
  3. Step 3: Cross multiply
    777.65x = 1,072.71 × 497.32
  4. Step 4: Simplify right side
    777.65x = 533,477.46
  5. Step 5: Solve for x
    x = 533,477.46/777.65
  6. Step 6: Final answer
    x = 686.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.