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Finding the Fourth Proportional to 469.34, 647.58 and 407.08

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Solution

The fourth proportional to 469.34, 647.58 and 407.08 is: 561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 647.58 = 407.08 : x
  2. Step 2: Convert to fraction form
    469.34/647.58 = 407.08/x
  3. Step 3: Cross multiply
    469.34x = 647.58 × 407.08
  4. Step 4: Simplify right side
    469.34x = 263,616.87
  5. Step 5: Solve for x
    x = 263,616.87/469.34
  6. Step 6: Final answer
    x = 561.68

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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.