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Finding the Fourth Proportional to 647.69, 967.08 and 586.13

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Solution

The fourth proportional to 647.69, 967.08 and 586.13 is: 875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 967.08 = 586.13 : x
  2. Step 2: Convert to fraction form
    647.69/967.08 = 586.13/x
  3. Step 3: Cross multiply
    647.69x = 967.08 × 586.13
  4. Step 4: Simplify right side
    647.69x = 566,831.67
  5. Step 5: Solve for x
    x = 566,831.67/647.69
  6. Step 6: Final answer
    x = 875.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.