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Finding the Fourth Proportional to 1,036.66, 1,430.59 and 570.91

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Solution

The fourth proportional to 1,036.66, 1,430.59 and 570.91 is: 787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.66 : 1,430.59 = 570.91 : x
  2. Step 2: Convert to fraction form
    1,036.66/1,430.59 = 570.91/x
  3. Step 3: Cross multiply
    1,036.66x = 1,430.59 × 570.91
  4. Step 4: Simplify right side
    1,036.66x = 816,736.71
  5. Step 5: Solve for x
    x = 816,736.71/1,036.66
  6. Step 6: Final answer
    x = 787.85

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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.