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Finding the Fourth Proportional to 652.77, 901.41 and 476.76

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Solution

The fourth proportional to 652.77, 901.41 and 476.76 is: 658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 901.41 = 476.76 : x
  2. Step 2: Convert to fraction form
    652.77/901.41 = 476.76/x
  3. Step 3: Cross multiply
    652.77x = 901.41 × 476.76
  4. Step 4: Simplify right side
    652.77x = 429,756.23
  5. Step 5: Solve for x
    x = 429,756.23/652.77
  6. Step 6: Final answer
    x = 658.36

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Half scale
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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.