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Finding the Fourth Proportional to 691.23, 953.59 and 429.20

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Solution

The fourth proportional to 691.23, 953.59 and 429.20 is: 592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 953.59 = 429.20 : x
  2. Step 2: Convert to fraction form
    691.23/953.59 = 429.20/x
  3. Step 3: Cross multiply
    691.23x = 953.59 × 429.20
  4. Step 4: Simplify right side
    691.23x = 409,280.83
  5. Step 5: Solve for x
    x = 409,280.83/691.23
  6. Step 6: Final answer
    x = 592.11

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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.