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Finding the Fourth Proportional to 691.48, 953.46 and 429.16

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Solution

The fourth proportional to 691.48, 953.46 and 429.16 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.48 : 953.46 = 429.16 : x
  2. Step 2: Convert to fraction form
    691.48/953.46 = 429.16/x
  3. Step 3: Cross multiply
    691.48x = 953.46 × 429.16
  4. Step 4: Simplify right side
    691.48x = 409,186.89
  5. Step 5: Solve for x
    x = 409,186.89/691.48
  6. Step 6: Final answer
    x = 591.76

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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.