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Finding the Fourth Proportional to 653.51, 901.85 and 354.76

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Solution

The fourth proportional to 653.51, 901.85 and 354.76 is: 489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.51 : 901.85 = 354.76 : x
  2. Step 2: Convert to fraction form
    653.51/901.85 = 354.76/x
  3. Step 3: Cross multiply
    653.51x = 901.85 × 354.76
  4. Step 4: Simplify right side
    653.51x = 319,936.28
  5. Step 5: Solve for x
    x = 319,936.28/653.51
  6. Step 6: Final answer
    x = 489.57

Related Problems

Find fourth proportional to 326.75, 450.92 and 177.38
Half scale
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Double scale
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Similar ratio
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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.