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Finding the Fourth Proportional to 665.68, 916.68 and 572.31

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Solution

The fourth proportional to 665.68, 916.68 and 572.31 is: 788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.68 : 916.68 = 572.31 : x
  2. Step 2: Convert to fraction form
    665.68/916.68 = 572.31/x
  3. Step 3: Cross multiply
    665.68x = 916.68 × 572.31
  4. Step 4: Simplify right side
    665.68x = 524,625.13
  5. Step 5: Solve for x
    x = 524,625.13/665.68
  6. Step 6: Final answer
    x = 788.10

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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.