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Finding the Fourth Proportional to 473.95, 653.47 and 407.43

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Solution

The fourth proportional to 473.95, 653.47 and 407.43 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.95 : 653.47 = 407.43 : x
  2. Step 2: Convert to fraction form
    473.95/653.47 = 407.43/x
  3. Step 3: Cross multiply
    473.95x = 653.47 × 407.43
  4. Step 4: Simplify right side
    473.95x = 266,242.26
  5. Step 5: Solve for x
    x = 266,242.26/473.95
  6. Step 6: Final answer
    x = 561.75

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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.