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Finding the Fourth Proportional to 647.42, 967.35 and 624.74

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Solution

The fourth proportional to 647.42, 967.35 and 624.74 is: 933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.42 : 967.35 = 624.74 : x
  2. Step 2: Convert to fraction form
    647.42/967.35 = 624.74/x
  3. Step 3: Cross multiply
    647.42x = 967.35 × 624.74
  4. Step 4: Simplify right side
    647.42x = 604,339.12
  5. Step 5: Solve for x
    x = 604,339.12/647.42
  6. Step 6: Final answer
    x = 933.46

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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.