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Finding the Fourth Proportional to 652.77, 900.64 and 420.03

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Solution

The fourth proportional to 652.77, 900.64 and 420.03 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 900.64 = 420.03 : x
  2. Step 2: Convert to fraction form
    652.77/900.64 = 420.03/x
  3. Step 3: Cross multiply
    652.77x = 900.64 × 420.03
  4. Step 4: Simplify right side
    652.77x = 378,289.22
  5. Step 5: Solve for x
    x = 378,289.22/652.77
  6. Step 6: Final answer
    x = 579.52

Related Problems

Find fourth proportional to 326.38, 450.32 and 210.01
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Double scale
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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.