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Finding the Fourth Proportional to 565.12, 780 and 358

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Solution

The fourth proportional to 565.12, 780 and 358 is: 494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 780 = 358 : x
  2. Step 2: Convert to fraction form
    565.12/780 = 358/x
  3. Step 3: Cross multiply
    565.12x = 780 × 358
  4. Step 4: Simplify right side
    565.12x = 279,240
  5. Step 5: Solve for x
    x = 279,240/565.12
  6. Step 6: Final answer
    x = 494.13

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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.