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Finding the Fourth Proportional to 477.24, 710.76 and 452.40

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Solution

The fourth proportional to 477.24, 710.76 and 452.40 is: 673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 710.76 = 452.40 : x
  2. Step 2: Convert to fraction form
    477.24/710.76 = 452.40/x
  3. Step 3: Cross multiply
    477.24x = 710.76 × 452.40
  4. Step 4: Simplify right side
    477.24x = 321,547.82
  5. Step 5: Solve for x
    x = 321,547.82/477.24
  6. Step 6: Final answer
    x = 673.77

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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.