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Finding the Fourth Proportional to 657.69, 907.82 and 424.77

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Solution

The fourth proportional to 657.69, 907.82 and 424.77 is: 586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 907.82 = 424.77 : x
  2. Step 2: Convert to fraction form
    657.69/907.82 = 424.77/x
  3. Step 3: Cross multiply
    657.69x = 907.82 × 424.77
  4. Step 4: Simplify right side
    657.69x = 385,612.58
  5. Step 5: Solve for x
    x = 385,612.58/657.69
  6. Step 6: Final answer
    x = 586.31

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1.5x scale

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.