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Finding the Fourth Proportional to 652.97, 900.77 and 417.19

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Solution

The fourth proportional to 652.97, 900.77 and 417.19 is: 575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 900.77 = 417.19 : x
  2. Step 2: Convert to fraction form
    652.97/900.77 = 417.19/x
  3. Step 3: Cross multiply
    652.97x = 900.77 × 417.19
  4. Step 4: Simplify right side
    652.97x = 375,788.94
  5. Step 5: Solve for x
    x = 375,788.94/652.97
  6. Step 6: Final answer
    x = 575.51

Related Problems

Find fourth proportional to 326.49, 450.38 and 208.59
Half scale
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Double scale
Find fourth proportional to 653.97, 902.15 and 418.19
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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.