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Finding the Fourth Proportional to 459.54, 692.55 and 432.18

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Solution

The fourth proportional to 459.54, 692.55 and 432.18 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 692.55 = 432.18 : x
  2. Step 2: Convert to fraction form
    459.54/692.55 = 432.18/x
  3. Step 3: Cross multiply
    459.54x = 692.55 × 432.18
  4. Step 4: Simplify right side
    459.54x = 299,306.26
  5. Step 5: Solve for x
    x = 299,306.26/459.54
  6. Step 6: Final answer
    x = 651.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.