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Finding the Fourth Proportional to 653.89, 901.97 and 432.76

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Solution

The fourth proportional to 653.89, 901.97 and 432.76 is: 596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.89 : 901.97 = 432.76 : x
  2. Step 2: Convert to fraction form
    653.89/901.97 = 432.76/x
  3. Step 3: Cross multiply
    653.89x = 901.97 × 432.76
  4. Step 4: Simplify right side
    653.89x = 390,332.12
  5. Step 5: Solve for x
    x = 390,332.12/653.89
  6. Step 6: Final answer
    x = 596.94

Related Problems

Find fourth proportional to 326.94, 450.98 and 216.38
Half scale
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Double scale
Find fourth proportional to 654.89, 903.34 and 433.76
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.